Despite the apparent ubiquity and variety of quantum spin liquids in theory,experimental confirmation of spin liquids remains to be a huge challenge.Motivated by the recent surge of evidences for spin liquids in a ser...Despite the apparent ubiquity and variety of quantum spin liquids in theory,experimental confirmation of spin liquids remains to be a huge challenge.Motivated by the recent surge of evidences for spin liquids in a series of candidate materials,we highlight the experimental schemes,involving the thermal Hall transport and spectrum measurements,that can result in smoking-gun signatures of spin liquids beyond the usual ones.For clarity,we investigate the square lattice spin liquids and theoretically predict the possible phenomena that may emerge in the corresponding spin liquids candidates.The mechanisms for these signatures can be traced back to either the intrinsic characters of spin liquids or the external field-driven behaviors.Our conclusion does not depend on the geometry of lattices and can broadly apply to other relevant spin liquids.展开更多
Photonic topological insulators with robust boundary states can enable great applications for optical communication and quantum emission,such as unidirectional waveguide and single-mode laser.However,because of the di...Photonic topological insulators with robust boundary states can enable great applications for optical communication and quantum emission,such as unidirectional waveguide and single-mode laser.However,because of the diffraction limit of light,the physical insight of topological resonance remains unexplored in detail,like the dark line that exists with the crys-talline symmetry-protected topological edge state.Here,we experimentally observe the dark line of the Z_(2)photonic topo-logical insulator in the visible range by photoluminescence and specify its location by cathodoluminescence characteriza-tion,and elucidate its mechanism with the p-d orbital electromagnetic field distribution which calculated by numerical sim-ulation.Our investigation provides a deeper understanding of Z_(2)topological edge states and may have great signific-ance to the design of future on-chip topological devices.展开更多
Higher-order topological insulators,as newly found non-trivial materials and structures,possess topological phases beyond the conventional bulk-boundary correspondence.In previous studies,in-gap boundary states such a...Higher-order topological insulators,as newly found non-trivial materials and structures,possess topological phases beyond the conventional bulk-boundary correspondence.In previous studies,in-gap boundary states such as the corner states were regarded as conclusive evidence for the emergence of higher-order topological insulators.Here,we present an experimental observation of a photonic higher-order topological insulator with corner states embedded into the bulk spectrum,denoted as the higher-order topological bound states in the continuum.Especially,we propose and experimentally demonstrate a new way to identify topological corner states by exciting them separately from the bulk states with photonic quantum superposition states.Our results extend the topological bound states in the continuum into higher-order cases,providing an unprecedented mechanism to achieve robust and localized states in a bulk spectrum.More importantly,our experiments exhibit the advantage of using the time evolution of quantum superposition states to identify topological corner modes,which may shed light on future exploration between quantum dynamics and higher-order topological photonics.展开更多
Spiral spin liquids are unique classical spin liquids that occur in many frustrated spin systems,but do not comprise a new phase of matter.Owing to extensive classical ground-state degeneracy,the spins in a spiral spi...Spiral spin liquids are unique classical spin liquids that occur in many frustrated spin systems,but do not comprise a new phase of matter.Owing to extensive classical ground-state degeneracy,the spins in a spiral spin liquid thermally fluctuate cooperatively from a collection of spiral configurations at low temperatures.These spiral propagation wavevectors form a continuous manifold in reciprocal space,i.e.,a spiral contour or a spiral surface,that strongly governs the low-temperature thermal fluctuations and magnetic physics.In this paper,the relevant spin models conveying the spiral spin liquid physics are systematically explored and the geometric origin of the spiral manifold is clarified in the model construction.The spiral spin liquids based on the dimension and the codimension of the spiral manifold are further clarified.For each class,the physical properties are studied both generally and for specific examples.The results are relevant to a wide range of frustrated magnets.A survey of materials is given and future experiments are suggested.展开更多
Pyrochlore magnets can be a unique platformn to demonstrate numerous important concepts and appli-cations of frustrated magnetic physics in modern condensed matter physics.Most works on pyrochlore magnets deal with th...Pyrochlore magnets can be a unique platformn to demonstrate numerous important concepts and appli-cations of frustrated magnetic physics in modern condensed matter physics.Most works on pyrochlore magnets deal with the interacting spin-1/2 local moments,while much less works have studied the spin-1 systems.We here review the physics with interacting spin-1 local moments on the pyrochlore lattice to ilustrate the potentially interesting physics associated with spin-1 magnets.The generic pyrochlore spin-1 model includes the antiferromagnetic Heisenberg interaction,the Dzyaloshinski-Moriya interaction and the single ion spin anisotropy.The global phase diagram of this generic spin model is reviewed,and the relation between different quantum phases in the phase diagram is clari-fied.The critical properties of the transition from the parent quantum paramagnet to the proximate orders are discussed.The presence of quantum order by disorder in the parts of the ordered phases is analyzed.The elementary excitations with respect to the ground states are further reviewed,and the topological natures of these excitations are carefully addressed.The materials'relevance of the spin-1 pyrochlore magnets are finally reviewed.This review may provide insights about the interesting spin-1 local moments on frustrated systems.展开更多
基金Project supported by the National Key R&D Program of China(Grant Nos.2016YFA0301001,2018YFGH000095,and 2016YFA0300500)Shanghai Municipal Science and Technology Major Project,China(Grant No.2019SHZDZX04)the Research Grants Council of Hong Kong with General Research Fund,China(Grant No.17303819).
文摘Despite the apparent ubiquity and variety of quantum spin liquids in theory,experimental confirmation of spin liquids remains to be a huge challenge.Motivated by the recent surge of evidences for spin liquids in a series of candidate materials,we highlight the experimental schemes,involving the thermal Hall transport and spectrum measurements,that can result in smoking-gun signatures of spin liquids beyond the usual ones.For clarity,we investigate the square lattice spin liquids and theoretically predict the possible phenomena that may emerge in the corresponding spin liquids candidates.The mechanisms for these signatures can be traced back to either the intrinsic characters of spin liquids or the external field-driven behaviors.Our conclusion does not depend on the geometry of lattices and can broadly apply to other relevant spin liquids.
基金supported by the National Key Research and Development Program of China (grant no.2017YFA0206000)Beijing Natural Science Foundation (grant nos. Z180011)+3 种基金the National Key Research and Development Program of China (grant nos. 2020YFA0211300, 2017YFA0205700, 2019YFA0210203,2018YFA0306200)National Science Foundation of China (grant nos. 12027807, 61521004, 21790364 and 11625418)PKUBaidu Fund Project (grant no.2020BD023)High-performance Computing Platform of Peking University
文摘Photonic topological insulators with robust boundary states can enable great applications for optical communication and quantum emission,such as unidirectional waveguide and single-mode laser.However,because of the diffraction limit of light,the physical insight of topological resonance remains unexplored in detail,like the dark line that exists with the crys-talline symmetry-protected topological edge state.Here,we experimentally observe the dark line of the Z_(2)photonic topo-logical insulator in the visible range by photoluminescence and specify its location by cathodoluminescence characteriza-tion,and elucidate its mechanism with the p-d orbital electromagnetic field distribution which calculated by numerical sim-ulation.Our investigation provides a deeper understanding of Z_(2)topological edge states and may have great signific-ance to the design of future on-chip topological devices.
基金This research is supported by the National Key R&D Programme of China(2017YFA0303700,2017YFA0303702,2017YFA0304203,2018YFA0306200,2019YFA0706302,and 2019YFA0308700)National Natural Science Foundation of China(11690033,61734005,11761141014,11625418,11890700,12034012,12074234,and 51732006)+3 种基金Science and Technology Commission of Shanghai Municipality(17JC1400403,and 2019SHZDZX01)Shanghai Municipal Education Commission(2017-01-07-00-02-E00049)IRT_17R70,1331KSC and 111 Project(D18001)China Postdoctoral Science Foundation Funded Project(2019M661784)。
文摘Higher-order topological insulators,as newly found non-trivial materials and structures,possess topological phases beyond the conventional bulk-boundary correspondence.In previous studies,in-gap boundary states such as the corner states were regarded as conclusive evidence for the emergence of higher-order topological insulators.Here,we present an experimental observation of a photonic higher-order topological insulator with corner states embedded into the bulk spectrum,denoted as the higher-order topological bound states in the continuum.Especially,we propose and experimentally demonstrate a new way to identify topological corner states by exciting them separately from the bulk states with photonic quantum superposition states.Our results extend the topological bound states in the continuum into higher-order cases,providing an unprecedented mechanism to achieve robust and localized states in a bulk spectrum.More importantly,our experiments exhibit the advantage of using the time evolution of quantum superposition states to identify topological corner modes,which may shed light on future exploration between quantum dynamics and higher-order topological photonics.
基金supported by the Innovation Program of Shanghai Municipal Education Commission(2017–01-07–00-07-E00018)the National Key R&D Program of the MOST of China(2016YFA0300203,2016YFA0300500,2016YFA0301001,and 2018YFE0103200)+6 种基金the National Natural Science Foundation of China(11874119)Shanghai Municipal Science and Technology Major Project(2019SHZDZX04)the Hong Kong Research Grants Council(17303819 and 17306520)supported by the National Natural Science Foundation of China(11875265)the Scientific Instrument Developing Project of the Chinese Academy of Sciences(3He based neutron polarization devices)the Institute of High Energy Physicsthe Chinese Academy of Sciences。
基金This work was supported by the Ministry of Science and Technology of China(Grant Nos.2018YFE0103200,2016YFA0300500,and 2016YFA0301001)the Shanghai Municipal Science and Technology Major Project(Grant No.2019SHZDZX04)the Research Grants Council of Hong Kong with General Research Fund(Grant No.17306520).
文摘Spiral spin liquids are unique classical spin liquids that occur in many frustrated spin systems,but do not comprise a new phase of matter.Owing to extensive classical ground-state degeneracy,the spins in a spiral spin liquid thermally fluctuate cooperatively from a collection of spiral configurations at low temperatures.These spiral propagation wavevectors form a continuous manifold in reciprocal space,i.e.,a spiral contour or a spiral surface,that strongly governs the low-temperature thermal fluctuations and magnetic physics.In this paper,the relevant spin models conveying the spiral spin liquid physics are systematically explored and the geometric origin of the spiral manifold is clarified in the model construction.The spiral spin liquids based on the dimension and the codimension of the spiral manifold are further clarified.For each class,the physical properties are studied both generally and for specific examples.The results are relevant to a wide range of frustrated magnets.A survey of materials is given and future experiments are suggested.
基金This work was supported by the Ministry of Science and Technology of China with grant Nos.2016YFA0301001,2016YFA0300501,and 2018YFE0103200the General Research Fund(GRF)under grant No.17303819 from the Research Grant Council of Hong Kong.
文摘Pyrochlore magnets can be a unique platformn to demonstrate numerous important concepts and appli-cations of frustrated magnetic physics in modern condensed matter physics.Most works on pyrochlore magnets deal with the interacting spin-1/2 local moments,while much less works have studied the spin-1 systems.We here review the physics with interacting spin-1 local moments on the pyrochlore lattice to ilustrate the potentially interesting physics associated with spin-1 magnets.The generic pyrochlore spin-1 model includes the antiferromagnetic Heisenberg interaction,the Dzyaloshinski-Moriya interaction and the single ion spin anisotropy.The global phase diagram of this generic spin model is reviewed,and the relation between different quantum phases in the phase diagram is clari-fied.The critical properties of the transition from the parent quantum paramagnet to the proximate orders are discussed.The presence of quantum order by disorder in the parts of the ordered phases is analyzed.The elementary excitations with respect to the ground states are further reviewed,and the topological natures of these excitations are carefully addressed.The materials'relevance of the spin-1 pyrochlore magnets are finally reviewed.This review may provide insights about the interesting spin-1 local moments on frustrated systems.