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The hallmark of a time-reversal symmetry protected topologically insulating state of matter in two-dimensions (2D) is the existence of chiral edge modes propagating along the perimeter of the system. To date, evidence for such electronic…

Mesoscale and Nanoscale Physics · Physics 2014-09-22 Ilya K. Drozdov , A. Alexandradinata , Sangjun Jeon , Stevan Nadj-Perge , Huiwen Ji , R. J. Cava , B. A. Bernevig , Ali Yazdani

We report a new type of phononic crystals with topologically non-trivial bandgaps for both longitudinal and transverse polarizations, resulting in protected one-way elastic edge waves. In our design, gyroscopic inertial effects are used to…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Pai Wang , Ling Lu , Katia Bertoldi

An established way of realizing topologically protected states in a two-dimensional electron gas is by applying a perpendicular magnetic field thus creating quantum Hall edge channels. In electrostatically gapped bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Fabian R. Geisenhof , Felix Winterer , Anna M. Seiler , Jakob Lenz , Ivar Martin , R. Thomas Weitz

Topological materials for classical waves offer remarkable potential in applications such as sensing, waveguiding and signal processing, leveraging topological protection effects like strong robustness, immunity to backscattering and…

Applied Physics · Physics 2025-03-11 Gang-Gang Xu , Xiao-Shuang Li , Tian-Xue Ma , Xi-Xian Liu , Xiao-Wei Sun , Yue-Sheng Wang

Topological phononic crystals (PCs) are periodic artificial structures which can support nontrivial acoustic topological bands, and their topological properties are linked to the existence of topological edge modes. Most previous studies…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Degang Zhao , Meng Xiao , C. W. Ling , C. T. Chan , Kin Hung Fung

We develop a unified view of topological phase transitions (TPTs) in solids by revising the classical band theory with the inclusion of topology. Re-evaluating the band evolution from an "atomic crystal" [a normal insulator (NI)] to a solid…

Materials Science · Physics 2020-05-11 Huaqing Huang , Feng Liu

Topological insulators are unique physical structures that are insulators in their bulk, but support currents at their edges which can be unidirectional and topologically protected from scattering on disorder and inhomogeneities. Photonic…

Modern theory of electric polarization is formulated by the Berry phase, which, when quantized, leads to topological phases of matter. Such a formulation has recently been extended to higher electric multipole moments, through the discovery…

Mesoscale and Nanoscale Physics · Physics 2020-07-09 Yan-Bin Yang , Kai Li , L. -M. Duan , Yong Xu

Freestanding single-bilayer Bi(111) is a two-dimensional topological insulator with edge states propagating along its perimeter. Given the interlayer coupling experimentally, the topological nature of Bi(111) thin films and the impact of…

Materials Science · Physics 2018-12-10 Lang Peng , Jing-Jing Xian , Peizhe Tang , Angel Rubio , Shou-Cheng Zhang , Wenhao Zhang , Ying-Shuang Fu

Generally, stacking two quantum spin Hall insulators gives rise to a trivial insulator. Here, based on first-principles electronic structure calculations, we confirm that monolayer TaIrTe$_{4}$ is a quantum spin Hall insulator and…

Materials Science · Physics 2020-07-15 Peng-Jie Guo , Xiao-Qin Lu , Wei Ji , Kai Liu , Zhong-Yi Lu

Valley, as a new degree of freedom, raises the valleytronics in fundamental and applied science. The elastic analogs of valley states have been proposed by mimicking the symmetrical structure of either two-dimensional materials or photonic…

Applied Physics · Physics 2019-11-13 Shuaifeng Li , Ingi Kim , Satoshi Iwamoto , Jianfeng Zang , Jinkyu Yang

A hallmark of topological phases is the occurrence of topologically protected modes at the system`s boundary. Here we find topological phases in the antisymmetric Lotka-Volterra equation (ALVE). The ALVE is a nonlinear dynamical system and…

Statistical Mechanics · Physics 2021-01-04 Johannes Knebel , Philipp M. Geiger , Erwin Frey

Spin and valley are two fundamental properties of electrons in crystals. The similarity between them is well understood in valley-contrasting physics established decades ago in two-dimensional (2D) materials like graphene--with broken…

Mesoscale and Nanoscale Physics · Physics 2024-09-19 Haoran Xue , Yong Ge , Zheyu Cheng , Yi-jun Guan , Jiaojiao Zhu , Hong-yu Zou , Shou-qi Yuan , Shengyuan A. Yang , Hong-xiang Sun , Yidong Chong , Baile Zhang

We investigate topological phases in two-dimensional Bi/Sb honeycomb crystals considering planar, buckled, freestanding and deposited on a substrate structures. We use the multi-orbital tight-binding model and compare results with density…

Materials Science · Physics 2018-09-26 N. Nouri , M. Bieniek , M. Brzezinska , M. Modarresi , S. Zia Borujeni , Gh. Rashedi , A. Wojs , P. Potasz

We study the ground state structure of electronic-like bilayers, where different phases compete upon changing the inter-layer separation or particle density. New series representations with exceptional convergence properties are derived for…

Strongly Correlated Electrons · Physics 2015-06-05 L. Samaj , E. Trizac

The discovery of quadrupole topology opens a new horizon in the study of topological phenomena. However, the existing experimental realizations of quadrupole topological insulators in symmorphic lattices with $\pi$-fluxes often break the…

Strongly Correlated Electrons · Physics 2020-07-08 Zhi-Kang Lin , Hai-Xiao Wang , Zhan Xiong , Ming-Hui Lu , Jian-Hua Jiang

Topological magnons, quantized spin waves featuring nontrivial boundary modes, present a promising route toward lossless information processing. Realizing practical devices typically requires magnons excited in a controlled manner to enable…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Xueqing Wan , Quanchao Du , Jinlian Lu , Zhenlong Zhang , Jinyang Ni , Lei Zhang , Zhijun Jiang , Laurent Bellaiche

Crystalline $\rm Bi_2Se_3$ is one of the most explored three-dimensional topological insulator, with a $0.3\;\rm eV$ energy gap making it promising for applications. Its amorphous counterpart could bring to light new possibilities for large…

Materials Science · Physics 2021-12-14 Bruno Focassio , Gabriel R. Schleder , F. Crasto de Lima , Caio Lewenkopf , Adalberto Fazzio

We describe a three-dimensional crystalline topological insulator (TI) phase of matter that exhibits spontaneous polarization. This polarization results from the presence of (approximately) flat bands on the surface of such TIs. These flat…

Materials Science · Physics 2021-06-16 J. Nissinen , Tero T. Heikkila , G. E. Volovik

Two-dimensional topological edge states, immunizing against defects and disorders, have greatly revolutionized our scientific cognition on propagation and scattering of acoustic waves. Recently, the similar states have been predicted in…

Materials Science · Physics 2018-03-13 Tingting Liu , Shengjie Zheng , Hongqing Dai , Dejie Yu , Baizhan Xia