Underwater acoustic metamaterial based on double Dirac cone characteristics in rectangular phononic crystals

We theoretically construct a rectangular phononic crystal(PC) structure surrounded by water with C2vsymmetry, and then place a steel rectangular scatterer at each quarter position inside each cell. The final complex crystal has two forms:the vertical type, in which the distance s between the center of the scatterer and its right-angle point is greater than 0.5 a,and the transverse type, in which s is smaller than 0.5 a(where a is the crystal constant in the x direction). Each rectangular scatterer has three variables: length L, width D, and rotation angle θ around its centroid. We find that, when L and D change and θ is kept at zero, there is always a linear quadruply degenerate state at the corner of the irreducible Brillouin zone. Then, we vary θ and find that the quadruply degenerate point splits into two doubly-degenerate states with odd and even parities. At the same time, the band structure reverses and undergoes a phase change from topologically non-trivial to topologically trivial. Then we construct an acoustic system consisting of a trivial and a non-trivial PC with equal numbers of layers, and calculate the projected band structure. A helical one-way transmission edge state is found in the frequency range of the body band gap. Then, we use the finite-element software Comsol to simulate the unidirectional transmission of this edge state and the backscattering suppression of right-angle, disorder, and cavity defects. This acoustic wave system with rectangular phononic crystal form broadens the scope of acoustic wave topology and provides a platform for easy acoustic operation.

Two-dimensional hexagonal Zn3Si2 monolayer:Dirac cone material and Dirac half-metallic manipulation

The fascinating Dirac cone in honeycomb graphene,which underlies many unique electronic properties,has inspired the vast endeavors on pursuing new two-dimensional(2D)Dirac materials.Based on the density functional theory method,a 2D material Zn3Si2 of honeycomb transition-metal silicide with intrinsic Dirac cones has been predicted.The Zn3Si2 monolayer is dynamically and thermodynamically stable under ambient conditions.Importantly,the Zn3Si2 monolayer is a room-temperature 2D Dirac material with a spin-orbit coupling energy gap of 1.2 meV,which has an intrinsic Dirac cone arising from the special hexagonal lattice structure.Hole doping leads to the spin polarization of the electron,which results in a Dirac half-metal feature with single-spin Dirac fermion.This novel stable 2D transition-metal-silicon-framework material holds promises for electronic device applications in spintronics.

Disappearance of the Dirac cone in silicene due to the presence of an electric field

Using the two-dimensional ionic Hubbard model as a simple basis for describing the electronic structure of silicene in the presence of an electric field induced by the substrate, we use the coherent-potential approximation to calculate the zero-temperature phase diagram and the associated spectral function at half filling. We find that any degree of symmetrybreaking induced by the electric field causes the silicene structure to lose its Dirac fermion characteristics, thus providing a simple mechanism for the disappearance of the Dirac cone.

A simple rule for finding Dirac cones in bilayered perovskites

A simple rule for finding Dirac cone electronic states in solids is proposed, which is neglecting those lattice atoms inert to particular electronic bands, and pursuing the two-dimensional(2D) graphene-like quasi-atom lattices with s-and pbindings by considering the equivalent atom groups in the unit cell as quasi-atoms.Taking CsPbBr3 and Cs3Bi2Br9 bilayers as examples, we prove the effectiveness and generality of this rule with the density functional theory(DFT) calculations.We demonstrate that both bilayers have Dirac cones around the Fermi level and reveal that their corresponding Fermi velocities can reach as high as^0.2 × 10^6 m/s.This makes these new 2D layered materials very promising in making new ultra-fast ionic electronic devices.

Electric field manipulation of multiple nonequivalent Dirac cones in the electronic structures of hexagonal CrB_4 sheet

Two-dimensional materials with Dirac cones have significant applications in photoelectric technology. The origin and manipulation of multiple Dirac cones need to be better understood. By first-principle calculations, we study the influence of external fields on the electronic structure of the hexagonal CrB_4 sheet with double nonequivalent Dirac cones. Our results show that the two cones are not sensitive to tensile strain and out-of-plane electric field, but present obviously different behaviors under the in-plane external electric field(along the B-B direction), i.e., one cone holds while the other vanishes with a gap opening. More interestingly, a new nonequivalent cone emerges under a proper in-plane electric field. We also discuss the origin of the cones in CrB_4 sheet. Our study provides a new method on how to obtain Dirac cones by the external field manipulation, which may motivate potential applications in nanoelectronics.

Creation of Bielectron of Dirac Cone: The Tachyon Solution in Magnetic Field

Schr&oumldinger equation for pair of two massless Dirac particles when magnetic field is applied in Landau gauge is solved exactly. In this case, the separation of center of mass and relative motion is obtained. Landau quantization ε = ±B/?l for pair of two Majorana fermions coupled via a Coulomb potential from massless chiral Dirac equation in cylindric coordinate is found. The root ambiguity in energy spectrum leads into Landau quantization for bielectron, when the states in which the one simultaneously exists are allowed. The tachyon solution with imaginary energy in Cooper problem (ε 2 < 0) is found. The continuum symmetry of Dirac equation allows perfect pairing between electron Fermi spheres when magnetic field is applied in Landau gauge creating a Cooper pair.

Nonlinear topological valley Hall edge states arising from type-Ⅱ Dirac cones

A Dirac point is a linear band crossing point originally used to describe unusual transport properties of materials like graphene.In recent years,there has been a surge of exploration of type-II Dirac/Weyl points using various engineered platforms including photonic crystals,waveguide arrays,metasurfaces,magnetized plasma and polariton micropillars,aiming toward relativistic quantum emulation and understanding of exotic topological phenomena.Such endeavors,however,have focused mainly on linear topological states in real or synthetic Dirac/Weyl materials.We propose and demonstrate nonlinear valley Hall edge(VHE)states in laserwritten anisotropic photonic lattices hosting innately the type-Ⅱ Dirac points.These self-trapped VHE states,manifested as topological gap quasi-solitons that can move along a domain wall unidirectionally without changing their profiles,are independent of external magnetic fields or complex longitudinal modulations,and thus are superior in comparison with previously reported topological edge solitons.Our finding may provide a route for understanding nonlinear phenomena in systems with type-Ⅱ Dirac points that violate the Lorentz invariance and may bring about possibilities for subsequent technological development in light field manipulation and photonic devices.

β石墨炔衍生物结构稳定性及电子结构的密度泛函理论研究

石墨炔衍生物比石墨烯具有更多样化的原子结构,因而具有潜在的更丰富的电子结构.通过第一性原理密度泛函理论研究方法系统研究了β石墨炔衍生物的结构稳定性、原子构型和电子结构.本文计算的β石墨炔衍生物系列体系由六边形碳环（各边原子数N=1—10）通过顶点相连而成.对结构与能量的计算分析表明：当N为偶数时,β石墨炔拥有单、三键交替的C—C键结构,其能量比N为奇数时,拥有连续C=C双键的石墨炔衍生物更稳定.计算的能带结构和态密度显示：根据碳环各边原子个数N的奇偶性不同,β石墨炔可呈现金属性（N为奇数时）或半导体特性（N为偶数时）.该奇偶依赖的原子构型和电学性质是由Jahn-Teller畸变效应导致,与碳环各边原子碳链的实际长度无关.计算发现部分半导体β石墨炔（N=2,6,10）呈现狄拉克锥能带特征,其带隙约10 meV,且具有0.255×10~6—0.414×10~6m/s的高电子速度,约为石墨烯电子速度的30%—50%.本密度泛函理论研究表明,将sp杂化碳原子引入石墨烯六边形碳环的边上,可通过控制六边形各边原子个数的奇偶性调制其金属和半导体电子特性或狄拉克锥的形成,为免掺杂和缺陷调控纳米碳材料的电学性质和设计碳基纳米电子器件提供了理论依据.

韧带型声子晶体狄拉克锥特性研究

声子晶体的能带结构特性是评估声学超构材料减振降噪性能的重要指标.以二维六韧带手性声子晶体为例,对其能带结构和狄拉克锥特性进行数值分析,在声子晶体布里渊区中心处获得四重偶然简并狄拉克点.通过调整韧带的设计参数,实现对双狄拉克锥的打开,形成新的定向带隙.研究韧带参数与定向带隙宽度的关系,并进一步讨论能带结构反转问题.研究成果可为手性声子晶体在弹性波操控和声学拓扑绝缘体的应用提供技术支持.

Synthesis of new silicene structure and its energy band properties

Silicene,silicon analogue to graphene which possesses a two-dimensional(2D)hexagonal lattice,has attracted increasing attention in the last few years due to predicted unique properties.However,silicon naturally possesses a three-dimensional(3D)diamond structure,so there seems to be not any natural solid phase of silicon similar to graphite.Here we report the synthesis of new silicene structure with a unique rectangular lattice by using a coherent electron beam to irradiate amorphous silicon nanofilm produced by pulsed laser deposition(PLD).Under the irradiation of coherent electron beam with proper kinetic energy,the surface layer of silicon nanofilm can be crystallized into silicene.The dynamic stability and the energy band properties of this new silicene structure are investigated by using first-principle calculations and density function theory(DFT)with the help of the observed crystalline structure and lattice constant.The new silicene structure has a real direct bandgap of 0.78 eV.Interestingly,the simulating calculation shows that the convex bond angle is 118°in the new silicene structure with rectangular lattices.The DFT simulations reveal that this new silicene structure has a Dirac-cone-like energy band.The experimental realization of silicene and the theoretically predicted properties shed light on the silicon material with potential applications in new devices.

基于复合蜂窝结构的宽带周期与非周期声拓扑绝缘体

具有良好可重构性、良好缺陷兼容性及紧凑型的声学拓扑结构可能成为声学发展中一个有前景的方向.本文设计了一种可调谐、应用于空气声的二维宽带复合蜂窝形晶格结构,其元胞拥有两个变量:一个是中心圆的缩放参数s,另一个是"花瓣"图案围绕其质心的旋转角度q.研究发现当s为1.2, q为±33°时,在结构的布里渊区中心点出现四重简并态.在±33°两侧,能带会发生反转,体系经历拓扑相变;同时,结构的相对带隙宽带逐渐增加,其中q为0°和60°时,相对带宽分别为0.39和0.33.本研究还计算了由这两种转角的声子晶体组成的拼合结构的投影能带,发现在其体带隙中存在着边界态并验证了此拓扑边界的缺陷免疫特性.最后通过变化s,构建了一种非周期性双狄拉克锥型的声拓扑绝缘体并验证了其缺陷免疫性.本研究的体系相对带宽显著超过已知体系,将为利用声拓扑边界的声波器件微型化打下良好的基础.

k=0处的类狄拉克锥

狄拉克锥在电子和经典波体系中分别被发现,由于其线性能带关系,伴随着很多独特的现象.除了一般存在于布里渊区边界处的狄拉克锥,k=0处也存在包含线性能带关系的类狄拉克锥.这个类狄拉克锥可以由单极子和偶极子的偶然简并而形成.k=0处的类狄拉克锥可以通过两维电介质光子晶体来实现,利用等效媒质理论,此时的光子晶体在类狄拉克点频率可以等效为介电常数和磁导率都为零的材料.电介质双零折射率材料既可以避免阻抗的不匹配,也可以避免体系推广到高频所引起的强烈损耗.此外,k=0处的类狄拉克锥与双零折射率的概念可以从两维体系拓展到三维体系,而且还可以从电磁波体系推广到声波和弹性波体系.利用具有类狄拉克点的两维光子晶体,在材料参数都偏离类狄拉克点条件的两个半无限大光子晶体所构成的界面中,一定存在界面态.这些界面态的存在可以通过层状多重散射理论得到的表面阻抗以及体能带的几何相位来彻底解释.

声子晶体中的表面声波赝自旋模式和拓扑保护声传输

声子晶体中声表面波的调控在表面波应用方面有重要意义,拓扑声学理论为声子晶体表面波调控提供了新的思路.本文通过在硬质基板上排布蜂窝状晶格的空气圆柱孔阵列实现了结构表面局域的声表面波传播,并可在布里渊区K点上形成狄拉克锥.基于能带折叠理论构造复合胞,在复合胞布里渊区中心处实现了由二重简并偶极子态(p态)和四极子态(d态)组成的双狄拉克锥.通过扩大或缩小复合胞内相邻单元的间距,可以打开双狄拉克锥,将p态和d态分离,形成完全带隙.研究进一步发现,带隙附近声压场中声能流沿顺时针或逆时针方向转动,形成了表面声波的赝自旋态.复合胞内单元间距的缩小到扩大可导致能带反转,系统从平庸态转变为非平庸态,并伴随着拓扑相的变化.根据体态-边界态对应原则,构造了受拓扑保护的表面声波波导,实现了对声子晶体表面波的调控.

Two-dimensional Dirac materials:Tight-binding lattice models and material candidates

The discovery of graphene has led to the devotion of intensive efforts,theoretical and experimental,to produce two-dimensional(2D)materials that can be used for developing functional materials and devices.This work provides a brief review of the recent developments in the lattice models of 2D Dirac materials and their relevant real material counterparts that are crucial for understanding the origins of 2D Dirac cones in electronic band structures as well as their material design and device applications.We focus on the roles of lattice symmetry,atomic orbital hybridization,and spin-orbit coupling in the presence of a Dirac cone.A number of lattice models,such as honeycomb,kagome,ruby,star,Cairo,and line-centered honeycomb,with different symmetries are reviewed based on the tight-binding approach.Inorganic and organic 2D materials,theoretically proposed or experimentally synthesized to satisfy these 2D Dirac lattice models,are summarized.

空间盘绕型声学超材料的亚波长拓扑谷自旋态

声子晶体的Dirac线性色散关系,使其具有奇特的声拓扑特性,在声波控制领域具有良好的应用前景.目前,声子晶体的拓扑边缘态主要基于Bragg散射所产生的能带结构,难以实现低频声波的受拓扑保护单向边缘传输.本文引入空间盘绕结构,设计了具有C_(3v)对称性的空间盘绕型声学超材料,并研究其布里渊区高对称点(K/K'点)的亚波长Dirac锥形线性色散.接着,通过旋转打破空间盘绕型声学超材料的镜像对称性,使其Dirac简并锥裂开而产生亚波长拓扑相变和亚波长拓扑谷自旋态.最后,采用拓扑相位互逆的声学超材料构造拓扑界面,实现声拓扑谷自旋传输.空间盘绕型声学超材料的亚波长Dirac线性色散与亚波长拓扑谷自旋态突破了声子拓扑绝缘体的几何尺寸限制,为声拓扑稳健传输在低频段的应用提供理论基础.

拓扑声子晶体

拓扑物态是当前凝聚态及材料物理领域的关注焦点.声子晶体是具有周期性结构的人工材料,其中的声子态或声波态也可具有拓扑性质.从声子晶体的背景知识出发,介绍了2类拓扑声子晶体的研究进展,即能谷声子晶体和外尔声子晶体,它们具有良好鲁棒性及超导传输特性的拓扑界/表面波,这种无障碍的传输特性具有广阔的应用前景.

Hydrogenated antimonene as quantum spin Hall insulator:A first-principles study

Using first-principles calculations based on density functional theory(DFT), the structural and electronic properties of hydrogenated antimonene have been systematically investigated. Phonon dispersion and molecular dynamics(MD)simulation reveal that fully hydrogenated(FH) antimonene has high dynamic stability and could be synthesized. A newσ-type Dirac cone related to Sb-px,y orbitals is found in FH antimonene, which is robust to tensile strain. Noticeably, the spin orbital coupling(SOC) opens a quantum spin Hall(QSH) gap of 425 meV at the Dirac cone, sufficiently large for practical applications at room temperature. Semi-hydrogenated antimonene is a non-magnetic metal. Our results show that FH antimonene may have great potential applications in next generation high-performance devices.

Scalable Cavity Quantum Electrodynamics System for Quantum Computing

We introduce a new scalable cavity quantum electrodynamics platform which can be used for quantum computing. This system is composed of coupled photonic crystal (PC) cavities which their modes lie on a Dirac cone in the whole super crystal band structure. Quantum information is stored in quantum dots that are positioned inside the cavities. We show if there is just one quantum dot in the system, energy as photon is exchanged between the quantum dot and the Dirac modes sinusoidally. Meanwhile the quantum dot becomes entangled with Dirac modes. If we insert more quantum dots into the system, they also become entangled with each other.

零折射率材料平板的透射特性研究

零折射率材料是近几年发展起来的一种新型超构材料.它性质奇特,应用广泛,不仅活跃在科研前沿,也很值得推介到物理课堂.本文从经典电动力学出发,理论分析并数值模拟了零折射率材料内部电场、磁场的分布特性,以及零折射率材料平板的电磁透射特性.结果表明:对于双零折射率材料的平板,在与空气阻抗匹配的条件下,其透过率不随平板厚度的变化而变化,大小始终保持为1;而单零折射率材料的平板的透过率随着平板厚度的增加而减小.文章进一步分析了产生这两种特殊透射特性的原因.研究结果对于理解零折射率材料的特性以及设计零折射率材料的功能器件有很好的指导意义和参考价值.

Silicene on substrates:A theoretical perspective

Silicene, as the silicon analog of graphene, is successfully fabricated by epitaxially growing it on various substrates.Like free-standing graphene, free-standing silicene possesses a honeycomb structure and Dirac-cone-shaped energy band,resulting in many fascinating properties such as high carrier mobility, quantum spin Hall effect, quantum anomalous Hall effect, and quantum valley Hall effect. The existence of the honeycomb crystal structure and the Dirac cone of silicene is crucial for observation of its intrinsic properties. In this review, we systematically discuss the substrate effects on the atomic structure and electronic properties of silicene from a theoretical point of view, especially with emphasis on the changes of the Dirac cone.