We investigate asymmetric spin wave scattering behaviors caused by vortex chirality in a cross-shaped ferromagnetic system by using the micromagnetic simulations.In the system,four scattering behaviors are found:(i)as...We investigate asymmetric spin wave scattering behaviors caused by vortex chirality in a cross-shaped ferromagnetic system by using the micromagnetic simulations.In the system,four scattering behaviors are found:(i)asymmetric skew scattering,depending on the polarity of vortex core,(ii)back scattering(reflection),depending on the vortex core stiffness,(iii)side deflection scattering,depending on structural symmetry of the vortex circulation,and(iv)geometrical scattering,depending on waveguide structure.The first and second scattering behaviors are attributed to nonlinear topological magnon spin Hall effect related to magnon spin-transfer torque effect,which has value for magnonic exploration and application.展开更多
Optical chirality is one of the important and fundamental dynamic properties of light besides energy, momentum,and angular momentum. The quantification of electromagnetic chirality has been conceptualized only recentl...Optical chirality is one of the important and fundamental dynamic properties of light besides energy, momentum,and angular momentum. The quantification of electromagnetic chirality has been conceptualized only recently. Now, it is well known that for paraxial plane waves of light, the optical chirality is proportional to the ellipticity of the polarization ellipse, i.e., completely independent of the phase distribution. Here it is shown that optical vortex and state of polarization of the source paraxial field both have contributions to the optical chirality of the nonparaxial field generated by tightly focused Laguerre–Gaussian(LG) beam, which is in Stark contrast to the paraxial plane wave of light known from classical optics. The physical reason is the redistribution of local electromagnetic polarization in three dimensions associated with spin–orbit interaction.展开更多
Chiral metasurfaces have been proven to possess great potential in chiroptical applications.However,the multiband chiral metasurface with near-perfect circular dichroism has not been well studied.Also,the widely used ...Chiral metasurfaces have been proven to possess great potential in chiroptical applications.However,the multiband chiral metasurface with near-perfect circular dichroism has not been well studied.Also,the widely used bilayer metasurface usually suffers from the interlayer alignment and weak resonance.Here,we propose a twisted Moirémetasurface which can support three chiral bands with near-unity circular dichroism.The Moirémetasurface can remove the restriction of interlayer alignment,while maintaining a strong monolayer resonance.The two chiral bands in the forward direction can be described by two coupled-oscillator models.The third chiral band is achieved by tuning the interlayer chiral mode on resonance with the intralayer mode,to eliminate the parallel and converted components simultaneously.Finally,we study the robustness and tunability of the triple-layer Moirémetasurface in momentum space.This work provides a universal method to achieve three near-unity circular dichroism bands in one metasurface,which can promote applications of chiral metasurfaces in multiband optical communication,chiral drug separation,sensing,optical encryption,chiral laser,nonlinear and quantum optics,etc.展开更多
This paper suggests a scheme of electromagnetic chirality-induced negative refraction utilizing magneto-lectric cross coupling in a four-level atomic system. The negative refraction can be achieved with the two chiral...This paper suggests a scheme of electromagnetic chirality-induced negative refraction utilizing magneto-lectric cross coupling in a four-level atomic system. The negative refraction can be achieved with the two chirality coefficients having the same amplitude but the opposite phase, without requiring the simultaneous presence of an electric-dipole and a magnetic-dipole transition near the same transition frequency.展开更多
The crystal structure of tetrakis[(pyrrol-1-yl)methyl]methane was determined by X-ray diffraction measurement, and the result shows that it belongs to monoclinic crystal system, space group is P2 1/n, with a=0.9284(3...The crystal structure of tetrakis[(pyrrol-1-yl)methyl]methane was determined by X-ray diffraction measurement, and the result shows that it belongs to monoclinic crystal system, space group is P2 1/n, with a=0.9284(3) nm, b=1.0950(6) nm, c=1.8749(8) nm; α=γ= 90.00(4)°, β=103.63(3)°, V=1.8523(14) nm 3, Z=4, ρ calcd. =1.192 kg/m 3, μ=0.072 nm -1 , F(000)=712, R 1=0.0854, wR 2=0.1884. It has been found that the molecules exist in two enantiomeric states. Enantioselective self-assemblies such as one-dimensional molecular stacks in a single handedness, homochiral monolayers and a chiral superlattice are specified in this racemic crystal. In addition, a simple technique is advocated to distinguish chiral states from tetrahedral molecules in the solid state. The present R/S nomenclature of the tetracooradinated carbon centers is used solely for its convenience to distinguish the two enantiomeric states, but not used to determine the absolute configurations.展开更多
Analytical solutions for the elastic properties of a variety of binary nanotubes with arbitrary chirality are obtained through the study of systematic molecular mechanics. This molecular mechanics model is first exten...Analytical solutions for the elastic properties of a variety of binary nanotubes with arbitrary chirality are obtained through the study of systematic molecular mechanics. This molecular mechanics model is first extended to chiral binary nanotubes by introducing an additional out-of-plane inversion term into the so-called stick-spiral model, which results from the polar bonds and the buckling of binary graphitic crystals. The closed-form expressions for the longitudinal and circumferential Young's modulus and Poisson's ratio of chiral binary nanotubes are derived as functions of the tube diameter. The obtained inversion force constants are negative for all types of binary nanotubes, and the predicted tube stiffness is lower than that by the former stick-spiral model without consideration of the inversion term, reflecting the softening effect of the buckling on the elastic properties of binary nanotubes. The obtained properties are shown to be comparable to available density functional theory calculated results and to be chirality and size sensitive. The developed model and explicit solutions provide a systematic understanding of the mechanical performance of binary nanotubes consisting of III-V and II-VI group elements.展开更多
Introduction Chirality is defined as the absence of inversion symmetry,however,it is actually a pseudo-scalar of objects or figures,and does not depend for its definition on any connection to the physical world[1-5]. ...Introduction Chirality is defined as the absence of inversion symmetry,however,it is actually a pseudo-scalar of objects or figures,and does not depend for its definition on any connection to the physical world[1-5]. Logically,chiral molecules may possess other inherent physical quantity that guarantees the connection to the physical world[6,7].展开更多
High spin states in 107Ag have been studied via the 100Mo (11B, 4n) 107Ag reaction at a beam energy of 60 MeV on the HI-13 tandem accelerator at the China Institute of Atomic Energy. By analyzing the gamma-gamma coi...High spin states in 107Ag have been studied via the 100Mo (11B, 4n) 107Ag reaction at a beam energy of 60 MeV on the HI-13 tandem accelerator at the China Institute of Atomic Energy. By analyzing the gamma-gamma coincidence and their DCO ratios, a new level scheme of 107Ag is presented. The structures for the newly constructed bands are briefly discussed and tentatively assigned to be chiral doublet bands.展开更多
A novel chirality pairing recognition was found between D-and L-amino acid derivatives.Novel spiral alkaloids formed in the recognition reaction.Possible mechanism was proposed for the stereoselective and chemoselecti...A novel chirality pairing recognition was found between D-and L-amino acid derivatives.Novel spiral alkaloids formed in the recognition reaction.Possible mechanism was proposed for the stereoselective and chemoselective reactions.展开更多
Based on the nonequilibrium Green function method and density functional theory calculations, we theoretically investigate the effect of chirality on the electronic transport properties of thioxanthene-based molecular...Based on the nonequilibrium Green function method and density functional theory calculations, we theoretically investigate the effect of chirality on the electronic transport properties of thioxanthene-based molecular switch. The molecule comprises the switch which can exhibit different chiralities, that is, cis-form and trans-form by ultraviolet or visible irradiation. The results clearly reveal that the switching behaviors can be realized when the molecule converts between cis-form and trans-form. ~urthermore, the on-off ratio can be modulated by the chirality of the carbon nanotube electrodes. The maximum on-off ratio can reach 109 at 0.4 V for the armchair junction, suggesting potential applications of this type of junctions in future design of functional molecular devices.展开更多
This survey article records an unguided mathematical tour by topologists at Peking University and their collaborators in the last ten years. The tour started from research on chirality and, attracted by questions arou...This survey article records an unguided mathematical tour by topologists at Peking University and their collaborators in the last ten years. The tour started from research on chirality and, attracted by questions around attractors, led to a zigzag path across topology and dynamics. People who joined us in this tour at various stages include Ding Fan, Liu Yi, Ni Yi, Pan Jianzhong, Yao Jiangang, Zheng Hao and Zhou Qing. Conversations with Robert Edwards, Wen Lan and others, added to the twists and turns that made the trip more fun. This article benefits from related lectures by these authors, in many conferences, universities, as well as high schools.展开更多
The chirality-asymmetry macroscopic force mediated by light pseudoscalar particles between a-quartz and some achiral matter is studied. If this force between achiral source mass and a-quartz with some chirality is att...The chirality-asymmetry macroscopic force mediated by light pseudoscalar particles between a-quartz and some achiral matter is studied. If this force between achiral source mass and a-quartz with some chirality is attractive, it will become repulsive when the chirality of the a-quartz crystal is changed. According to the tested limits of the coupling constant gsgp/hc 〈 1.5×10^-24 at the Compton wavelength A = 10-3 m, the force (F) between a 0.08 × 0.08 × 0.002 m3 block of a-quartz and a 0.08 × 0.08× 0.01 m3 copper block with a separation being 0.5 × 10^-3 m in between, is estimated from the published data at less than 4.64 × 10^-24 N, i.e. F 〈 4.64 ×10^-24 N.展开更多
This paper studies the electromagnetic response of a coherently driven dense atomic ensemble to a weak probe. It finds that negative refraction with little absorption may be achieved in the presence of local-field enh...This paper studies the electromagnetic response of a coherently driven dense atomic ensemble to a weak probe. It finds that negative refraction with little absorption may be achieved in the presence of local-field enhanced interaction and dynamically induced chirality. The complex refractive index governing the probe refraction and absorption depends critically on the atomic density, the steady population distribution, the coherence dephasings, and the frequency de- tunings, and is also sensitive to the phase of the driving field because the photonic transition paths form a close loop. Thus, it can periodically tune the refractive index at a fixed frequency from negative to positive values and vice versa just by modulating the driving phase. Moreover, the optimal negative refraction is found to be near the probe magnetic resonance, which then requires the electric fields of the probe and the drive being on two-photon resonance due to the dipole synchronisation.展开更多
The manipulating of optical waves in a microcavity is essential to developing the integrated optical devices.Generally,the two eigenmodes in a whispering-gallery-mode(WGM)microcavity possess chiral symmetry.Here we sh...The manipulating of optical waves in a microcavity is essential to developing the integrated optical devices.Generally,the two eigenmodes in a whispering-gallery-mode(WGM)microcavity possess chiral symmetry.Here we show the chiral symmetry breaking is induced by the asymmetric backscattering of counter-propagating optical waves in a whisperinggallery-mode(WGM)microcavity with a cavity-made slot filled with atomic vapor.Through tuning the dispersion relation of the atomic vapor in the cavity-made slot,the chiral modes are continuously steered.The mode frequency splitting in the transmission and reflection spectra stem from the chiral symmetry breaking of the two eigenmodes.The displacement sensitivity of the proposed system in response to the length variation of cavity-made slot exhibits a high sensitivity value of 15.22 THz/nm.展开更多
Chiral structures are promising in many applications,such as biological sensing and analytical chemistry,and have been extensively explored.In this paper,we theoretically investigate the chiral response of twisted bil...Chiral structures are promising in many applications,such as biological sensing and analytical chemistry,and have been extensively explored.In this paper,we theoretically investigate the chiral response of twisted bilayerα-MoO_(3).Firstly,the analytical formula for the transmissivity is derived when the structure is illuminated with circularly polarized plane waves.Furthermore,the results demonstrate that the twisted bilayerα-MoO_(3)can excite the strong chirality with the maximum circular dichroism(CD)of 0.89.In this case,the chirality is due to the simultaneous breaking the rotational symmetry and mirror symmetry,which originates from the relative rotation of twoα-MoO_(3)layers.To better understand the physical mechanism,the polarization conversion between the left-hand circular polarization(LCP)and right-hand circular polarization(RCP)waves is discussed as well.Moreover,it is found that the structure can maintain the strong chirality(CD>0.8)when the twisted angle varies from 69°to 80°,which effectively reduces the strictness in the requirement for rotation angle.In addition,the CD can be larger than 0.85 when the incidence angle of circularly polarized plane wave is less than 40°,implying that the chirality is robust against the angle of incidence.Our work not only provides an insight into chirality induced by the twisted bilayerα-MoO_(3),but also looks forward to applications in biolo gical sensing.展开更多
Organic photovoltaic devices(OPVs) using chiral cyclohexene-fused [C_(60)]-fullerene derivatives that have(l)-menthyl ester moiety have been prepared and their properties evaluated as acceptor molecules with P3 HT pol...Organic photovoltaic devices(OPVs) using chiral cyclohexene-fused [C_(60)]-fullerene derivatives that have(l)-menthyl ester moiety have been prepared and their properties evaluated as acceptor molecules with P3 HT polymer: racemic cyclohexene-fused [C_(60)] fullenene,(RS)-(1 R,2 S,5 R)-2 a showed higher PCE(2.81%) than that of standard [C_(60)]-PCBM(2.64%) under the same analysis conditions. On the contrary, devices using chiral(R)-(1 R,2 S,5 R)-2 a and(S)-(1 R,2 S,5 R)-2 a, showed PCE as 1.08% and 1.10%, respectively. The main origin of the differences in PCE was found to be their poor Jsc values. The results indicate that the aggregation state might influence the interaction state with P3 HT and impact the results of the OPV properties, Jsc values in particular.展开更多
The origin of homochirality in living organisms is controversial,stands out of being particularly important and a question which is still not satisfactorily answered.A mental picture of sequence of events that is thou...The origin of homochirality in living organisms is controversial,stands out of being particularly important and a question which is still not satisfactorily answered.A mental picture of sequence of events that is thought to have preceded the existence of chirality in molecules is described.A chemical model to mimic the original abiotic conditions in an attempt to explain the preference of homochirality in living systems was tried.The effect which might have influenced this preference is presented.The surpri...展开更多
Poly{bis[4-(4'-(S)-2-methylbutoxy)biphenyloxy]phosphazene}(PP-C) was designed and successfully synthesized, and then characterized by means of FT-IR spectroscopy, ~1H- and ^(31)P-NMR, GPC spectroscopy, wide a...Poly{bis[4-(4'-(S)-2-methylbutoxy)biphenyloxy]phosphazene}(PP-C) was designed and successfully synthesized, and then characterized by means of FT-IR spectroscopy, ~1H- and ^(31)P-NMR, GPC spectroscopy, wide angle X-ray diffraction and differential scanning calorimetry. The results indicated that for PP-C, the M_w is 2.18×10~5 and the PDI is 1.96. PP-C was a kind of crystallized polymer with a crystallizing point of -2.0 ℃ and a melting point of 28 ℃. The conformational chirality of the PP-C molecules was studied using circular dichroism spectrum. It was found that in dilute THF solution, the biphenyl groups in the PP-C molecules twisted randomly. However, when the PP-C formed aggregates, the biphenyl groups tended to twist single-handedly, which was controlled by the adjacent chiral alkoxy groups.展开更多
The level lifetimes in partner bands of 130Cs have been measured using the Doppler Shift Attenuation method (DSAM). The high-spin states of 130Cs were populated via fusion evap- oration reaction 124Sn(11B; 5n)130C...The level lifetimes in partner bands of 130Cs have been measured using the Doppler Shift Attenuation method (DSAM). The high-spin states of 130Cs were populated via fusion evap- oration reaction 124Sn(11B; 5n)130Cs at a beam energy of 65 MeV. The absolute M1 and E2 transition probabilities have been deduced. The results indicate that the partner bands of 130Cs indeed manifest chiral properties.展开更多
Comprehensive Summary,Sensing the chirality of molecules is of great importance to fields such as enantioselective synthesis,pharmaceutical industry,and biomedicine.Plasmonic nanoparticles are ideal candidates for mol...Comprehensive Summary,Sensing the chirality of molecules is of great importance to fields such as enantioselective synthesis,pharmaceutical industry,and biomedicine.Plasmonic nanoparticles are ideal candidates for molecular sensing due to their inherent plasmonic properties that significantly enhance their sensitivity to surrounding molecules.Developing plasmonic nanoparticle-molecule complexes for chirality sensing has drawn enormous attention in recent years due to their intriguing properties and potential applications.Thus,in this review,we believe it is timely to circumnavigate the rational design of plasmonic nanoparticle-molecule complexes and widen the scope of their emerging applications in chirality sensing.First,we present different fundamental mechanisms for plasmon-based chirality that are built on the system of plasmonic nanoparticle-molecule complexes.Second,we review the typical applications of plasmonic nanoparticle-molecule complexes in chirality sensing.Third,we discuss the emerging biomedical applications that the plasmon-based chirality has attracted enormous interest.Finally,we provide an outlook on the challenges and opportunities in the field of plasmonic approaches for chirality sensing.展开更多
基金Project supported by the Basic Science Research Program of the National Research Foundation of Korea(Grant No.2021R1F1A1050539)the Yanbian University Research Project(Grant No.482022104)the Yichang Natural Science Research Project(Grant No.A22-3-010)。
文摘We investigate asymmetric spin wave scattering behaviors caused by vortex chirality in a cross-shaped ferromagnetic system by using the micromagnetic simulations.In the system,four scattering behaviors are found:(i)asymmetric skew scattering,depending on the polarity of vortex core,(ii)back scattering(reflection),depending on the vortex core stiffness,(iii)side deflection scattering,depending on structural symmetry of the vortex circulation,and(iv)geometrical scattering,depending on waveguide structure.The first and second scattering behaviors are attributed to nonlinear topological magnon spin Hall effect related to magnon spin-transfer torque effect,which has value for magnonic exploration and application.
基金Project supported by the National Natural Science Foundation of China (Grant No. 12074224)the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2021YQ02 and ZR2020MA087)。
文摘Optical chirality is one of the important and fundamental dynamic properties of light besides energy, momentum,and angular momentum. The quantification of electromagnetic chirality has been conceptualized only recently. Now, it is well known that for paraxial plane waves of light, the optical chirality is proportional to the ellipticity of the polarization ellipse, i.e., completely independent of the phase distribution. Here it is shown that optical vortex and state of polarization of the source paraxial field both have contributions to the optical chirality of the nonparaxial field generated by tightly focused Laguerre–Gaussian(LG) beam, which is in Stark contrast to the paraxial plane wave of light known from classical optics. The physical reason is the redistribution of local electromagnetic polarization in three dimensions associated with spin–orbit interaction.
基金the National Natural Science Foundation of China(Grant Nos.12174031,91950108,and 11774035)。
文摘Chiral metasurfaces have been proven to possess great potential in chiroptical applications.However,the multiband chiral metasurface with near-perfect circular dichroism has not been well studied.Also,the widely used bilayer metasurface usually suffers from the interlayer alignment and weak resonance.Here,we propose a twisted Moirémetasurface which can support three chiral bands with near-unity circular dichroism.The Moirémetasurface can remove the restriction of interlayer alignment,while maintaining a strong monolayer resonance.The two chiral bands in the forward direction can be described by two coupled-oscillator models.The third chiral band is achieved by tuning the interlayer chiral mode on resonance with the intralayer mode,to eliminate the parallel and converted components simultaneously.Finally,we study the robustness and tunability of the triple-layer Moirémetasurface in momentum space.This work provides a universal method to achieve three near-unity circular dichroism bands in one metasurface,which can promote applications of chiral metasurfaces in multiband optical communication,chiral drug separation,sensing,optical encryption,chiral laser,nonlinear and quantum optics,etc.
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 60768001 and 10464002)
文摘This paper suggests a scheme of electromagnetic chirality-induced negative refraction utilizing magneto-lectric cross coupling in a four-level atomic system. The negative refraction can be achieved with the two chirality coefficients having the same amplitude but the opposite phase, without requiring the simultaneous presence of an electric-dipole and a magnetic-dipole transition near the same transition frequency.
基金the National Natural Science Foundation of China(No.6 0 1710 0 8) and Shanghai Science and TechnologyCom mittee(No.0 2 14 nm0 0 5 )
文摘The crystal structure of tetrakis[(pyrrol-1-yl)methyl]methane was determined by X-ray diffraction measurement, and the result shows that it belongs to monoclinic crystal system, space group is P2 1/n, with a=0.9284(3) nm, b=1.0950(6) nm, c=1.8749(8) nm; α=γ= 90.00(4)°, β=103.63(3)°, V=1.8523(14) nm 3, Z=4, ρ calcd. =1.192 kg/m 3, μ=0.072 nm -1 , F(000)=712, R 1=0.0854, wR 2=0.1884. It has been found that the molecules exist in two enantiomeric states. Enantioselective self-assemblies such as one-dimensional molecular stacks in a single handedness, homochiral monolayers and a chiral superlattice are specified in this racemic crystal. In addition, a simple technique is advocated to distinguish chiral states from tetrahedral molecules in the solid state. The present R/S nomenclature of the tetracooradinated carbon centers is used solely for its convenience to distinguish the two enantiomeric states, but not used to determine the absolute configurations.
基金supported by the 973 Program (Grants 2013CB932604, 2012CB933403)a project funded by the Priority Academic Program Development of Jiangsu Higher Education InstitutionsJiangsu Innovation Program for Graduate Education (Grant CXZZ12_0140)
文摘Analytical solutions for the elastic properties of a variety of binary nanotubes with arbitrary chirality are obtained through the study of systematic molecular mechanics. This molecular mechanics model is first extended to chiral binary nanotubes by introducing an additional out-of-plane inversion term into the so-called stick-spiral model, which results from the polar bonds and the buckling of binary graphitic crystals. The closed-form expressions for the longitudinal and circumferential Young's modulus and Poisson's ratio of chiral binary nanotubes are derived as functions of the tube diameter. The obtained inversion force constants are negative for all types of binary nanotubes, and the predicted tube stiffness is lower than that by the former stick-spiral model without consideration of the inversion term, reflecting the softening effect of the buckling on the elastic properties of binary nanotubes. The obtained properties are shown to be comparable to available density functional theory calculated results and to be chirality and size sensitive. The developed model and explicit solutions provide a systematic understanding of the mechanical performance of binary nanotubes consisting of III-V and II-VI group elements.
基金Supported by the National Natural Science Foundation of China(No.60171008)Shanghai Science and Technology Commit-tee(No.0452nm087).
文摘Introduction Chirality is defined as the absence of inversion symmetry,however,it is actually a pseudo-scalar of objects or figures,and does not depend for its definition on any connection to the physical world[1-5]. Logically,chiral molecules may possess other inherent physical quantity that guarantees the connection to the physical world[6,7].
基金supported by the Major State Basic Research Development Program (2007CB815000)by National Natural Science Foundation of China (Nos. 11175259, 10775098, 10775184, 11075214, 10927507, 10975191, 10675171, 10105015, 10375092, 10575133)Science and Technology Foundation of Shenzhen, China (Nos. 200705 and SY200806270144A)
文摘High spin states in 107Ag have been studied via the 100Mo (11B, 4n) 107Ag reaction at a beam energy of 60 MeV on the HI-13 tandem accelerator at the China Institute of Atomic Energy. By analyzing the gamma-gamma coincidence and their DCO ratios, a new level scheme of 107Ag is presented. The structures for the newly constructed bands are briefly discussed and tentatively assigned to be chiral doublet bands.
基金supports from NSFC(30873141)973 Program(2009CB522300)Hebei University and the State Key Laboratory of Phytochemistry and Plant Resources in West China.
文摘A novel chirality pairing recognition was found between D-and L-amino acid derivatives.Novel spiral alkaloids formed in the recognition reaction.Possible mechanism was proposed for the stereoselective and chemoselective reactions.
基金Supported by the National Natural Science Foundation of China under Grant No 11004156the Natural Science Foundation of Shaanxi Province under Grant No 2014JM1025+2 种基金the Science and Technology Star Project of Shaanxi Province under Grant No2016KJXX-38the Special Foundation of Key Academic Subjects Development of Shaanxi Province under Grant No 2008-169the Xi'an Polytechnic University Young Scholar Supporting Plan under Grant No 2013-06
文摘Based on the nonequilibrium Green function method and density functional theory calculations, we theoretically investigate the effect of chirality on the electronic transport properties of thioxanthene-based molecular switch. The molecule comprises the switch which can exhibit different chiralities, that is, cis-form and trans-form by ultraviolet or visible irradiation. The results clearly reveal that the switching behaviors can be realized when the molecule converts between cis-form and trans-form. ~urthermore, the on-off ratio can be modulated by the chirality of the carbon nanotube electrodes. The maximum on-off ratio can reach 109 at 0.4 V for the armchair junction, suggesting potential applications of this type of junctions in future design of functional molecular devices.
文摘This survey article records an unguided mathematical tour by topologists at Peking University and their collaborators in the last ten years. The tour started from research on chirality and, attracted by questions around attractors, led to a zigzag path across topology and dynamics. People who joined us in this tour at various stages include Ding Fan, Liu Yi, Ni Yi, Pan Jianzhong, Yao Jiangang, Zheng Hao and Zhou Qing. Conversations with Robert Edwards, Wen Lan and others, added to the twists and turns that made the trip more fun. This article benefits from related lectures by these authors, in many conferences, universities, as well as high schools.
基金Project supported by the National Basic Research Program of China (Grant No 2003CB716300)the National Natural Science Foundation of China (Grant No 10121503)
文摘The chirality-asymmetry macroscopic force mediated by light pseudoscalar particles between a-quartz and some achiral matter is studied. If this force between achiral source mass and a-quartz with some chirality is attractive, it will become repulsive when the chirality of the a-quartz crystal is changed. According to the tested limits of the coupling constant gsgp/hc 〈 1.5×10^-24 at the Compton wavelength A = 10-3 m, the force (F) between a 0.08 × 0.08 × 0.002 m3 block of a-quartz and a 0.08 × 0.08× 0.01 m3 copper block with a separation being 0.5 × 10^-3 m in between, is estimated from the published data at less than 4.64 × 10^-24 N, i.e. F 〈 4.64 ×10^-24 N.
基金supported by the National Natural Science Foundation of China (Grant No. 10874057)
文摘This paper studies the electromagnetic response of a coherently driven dense atomic ensemble to a weak probe. It finds that negative refraction with little absorption may be achieved in the presence of local-field enhanced interaction and dynamically induced chirality. The complex refractive index governing the probe refraction and absorption depends critically on the atomic density, the steady population distribution, the coherence dephasings, and the frequency de- tunings, and is also sensitive to the phase of the driving field because the photonic transition paths form a close loop. Thus, it can periodically tune the refractive index at a fixed frequency from negative to positive values and vice versa just by modulating the driving phase. Moreover, the optimal negative refraction is found to be near the probe magnetic resonance, which then requires the electric fields of the probe and the drive being on two-photon resonance due to the dipole synchronisation.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11574021,61975005,and 11804017)the Fund from Beijing Academy of Quantum Information Sciences,China(Grant No.Y18G28).
文摘The manipulating of optical waves in a microcavity is essential to developing the integrated optical devices.Generally,the two eigenmodes in a whispering-gallery-mode(WGM)microcavity possess chiral symmetry.Here we show the chiral symmetry breaking is induced by the asymmetric backscattering of counter-propagating optical waves in a whisperinggallery-mode(WGM)microcavity with a cavity-made slot filled with atomic vapor.Through tuning the dispersion relation of the atomic vapor in the cavity-made slot,the chiral modes are continuously steered.The mode frequency splitting in the transmission and reflection spectra stem from the chiral symmetry breaking of the two eigenmodes.The displacement sensitivity of the proposed system in response to the length variation of cavity-made slot exhibits a high sensitivity value of 15.22 THz/nm.
基金Project supported by the Training Program of the Major Research Plan of the National Natural Science Foundation of China(Grant No.92052106)the National Natural Science Foundation of China(Grant Nos.61771385 and 52106099)+4 种基金the Science Foundation for Distinguished Young Scholars of Shaanxi Province,China(Grant No.2020JC-42)the Science and Technology on Solid-State Laser Laboratory,China(Grant No.6142404190301)the Science and Technology Research Plan of Xi'an City,China(Grant No.GXYD 14.26)the Shandong Provincial Natural Science Foundation,China(Grant No.ZR2020LLZ004)the Start-Up Funding of Guangdong Polytechnic Normal University,China(Gtrant No.2021SDKYA033)。
文摘Chiral structures are promising in many applications,such as biological sensing and analytical chemistry,and have been extensively explored.In this paper,we theoretically investigate the chiral response of twisted bilayerα-MoO_(3).Firstly,the analytical formula for the transmissivity is derived when the structure is illuminated with circularly polarized plane waves.Furthermore,the results demonstrate that the twisted bilayerα-MoO_(3)can excite the strong chirality with the maximum circular dichroism(CD)of 0.89.In this case,the chirality is due to the simultaneous breaking the rotational symmetry and mirror symmetry,which originates from the relative rotation of twoα-MoO_(3)layers.To better understand the physical mechanism,the polarization conversion between the left-hand circular polarization(LCP)and right-hand circular polarization(RCP)waves is discussed as well.Moreover,it is found that the structure can maintain the strong chirality(CD>0.8)when the twisted angle varies from 69°to 80°,which effectively reduces the strictness in the requirement for rotation angle.In addition,the CD can be larger than 0.85 when the incidence angle of circularly polarized plane wave is less than 40°,implying that the chirality is robust against the angle of incidence.Our work not only provides an insight into chirality induced by the twisted bilayerα-MoO_(3),but also looks forward to applications in biolo gical sensing.
基金supported by a Grant-in-Aid for Scientific Research of the GSC Center of Tottori University from the Ministry of Education, Culture, Sports, Science and Technology of Japansupported by a fund for Environmental Research from Tottori Prefecture
文摘Organic photovoltaic devices(OPVs) using chiral cyclohexene-fused [C_(60)]-fullerene derivatives that have(l)-menthyl ester moiety have been prepared and their properties evaluated as acceptor molecules with P3 HT polymer: racemic cyclohexene-fused [C_(60)] fullenene,(RS)-(1 R,2 S,5 R)-2 a showed higher PCE(2.81%) than that of standard [C_(60)]-PCBM(2.64%) under the same analysis conditions. On the contrary, devices using chiral(R)-(1 R,2 S,5 R)-2 a and(S)-(1 R,2 S,5 R)-2 a, showed PCE as 1.08% and 1.10%, respectively. The main origin of the differences in PCE was found to be their poor Jsc values. The results indicate that the aggregation state might influence the interaction state with P3 HT and impact the results of the OPV properties, Jsc values in particular.
文摘The origin of homochirality in living organisms is controversial,stands out of being particularly important and a question which is still not satisfactorily answered.A mental picture of sequence of events that is thought to have preceded the existence of chirality in molecules is described.A chemical model to mimic the original abiotic conditions in an attempt to explain the preference of homochirality in living systems was tried.The effect which might have influenced this preference is presented.The surpri...
基金Funded by the National Natural Science Foundation of China(No.21274098)
文摘Poly{bis[4-(4'-(S)-2-methylbutoxy)biphenyloxy]phosphazene}(PP-C) was designed and successfully synthesized, and then characterized by means of FT-IR spectroscopy, ~1H- and ^(31)P-NMR, GPC spectroscopy, wide angle X-ray diffraction and differential scanning calorimetry. The results indicated that for PP-C, the M_w is 2.18×10~5 and the PDI is 1.96. PP-C was a kind of crystallized polymer with a crystallizing point of -2.0 ℃ and a melting point of 28 ℃. The conformational chirality of the PP-C molecules was studied using circular dichroism spectrum. It was found that in dilute THF solution, the biphenyl groups in the PP-C molecules twisted randomly. However, when the PP-C formed aggregates, the biphenyl groups tended to twist single-handedly, which was controlled by the adjacent chiral alkoxy groups.
基金supported by the Major State Basic Research Development Program (2007CB815000)National Natural Science Foundation of China (Nos. 10775184, 10675171, 10575133, 10575092, 10375092)
文摘The level lifetimes in partner bands of 130Cs have been measured using the Doppler Shift Attenuation method (DSAM). The high-spin states of 130Cs were populated via fusion evap- oration reaction 124Sn(11B; 5n)130Cs at a beam energy of 65 MeV. The absolute M1 and E2 transition probabilities have been deduced. The results indicate that the partner bands of 130Cs indeed manifest chiral properties.
基金supported by the National Natural Science Foundation of China(Grant No.22174104 to Q.Z.).L.S.acknowledges the support of the Hubei Provincial Natural Science Foundation of China(Grant No.2022CFB627)the Fundamental Research Funds for the Central Universities(Grant No.20422022kf1039).
文摘Comprehensive Summary,Sensing the chirality of molecules is of great importance to fields such as enantioselective synthesis,pharmaceutical industry,and biomedicine.Plasmonic nanoparticles are ideal candidates for molecular sensing due to their inherent plasmonic properties that significantly enhance their sensitivity to surrounding molecules.Developing plasmonic nanoparticle-molecule complexes for chirality sensing has drawn enormous attention in recent years due to their intriguing properties and potential applications.Thus,in this review,we believe it is timely to circumnavigate the rational design of plasmonic nanoparticle-molecule complexes and widen the scope of their emerging applications in chirality sensing.First,we present different fundamental mechanisms for plasmon-based chirality that are built on the system of plasmonic nanoparticle-molecule complexes.Second,we review the typical applications of plasmonic nanoparticle-molecule complexes in chirality sensing.Third,we discuss the emerging biomedical applications that the plasmon-based chirality has attracted enormous interest.Finally,we provide an outlook on the challenges and opportunities in the field of plasmonic approaches for chirality sensing.