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Topological materials exhibit properties dictated by quantised invariants that make them robust against perturbations. This topological protection is a universal wave phenomenon that applies not only in the context of electrons in…

Optics · Physics 2020-05-26 Sebabrata Mukherjee , Mikael C. Rechtsman

Topological bosonic excitations must, in contrast to their fermionic counterparts, appear at finite energies. This is a key challenge for magnons, as it prevents straightforward excitation and detection of topologically-protected magnonic…

Mesoscale and Nanoscale Physics · Physics 2023-10-04 Pieter M. Gunnink , Joren S. Harms , Rembert A. Duine , Alexander Mook

Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions. This review presents a pedagogical account on…

Materials Science · Physics 2013-09-04 Yoichi Ando

Topological insulators are unique devices supporting unidirectional edge states at their interfaces. Due to topological protection, such edge states persist in the presence of disorder and do not experience backscattering upon interaction…

Topological photonic states, inspired by robust chiral edge states in topological insulators, have recently been demonstrated in a few photonic systems, including an array of coupled on-chip ring resonators at communication wavelengths.…

Topological insulators are a novel class of quantum materials characterized by protected gapless surface or edge states but insulating bulk states which is due to presence of spin-orbit interactions and time-reversal symmetry. Such an…

Strongly Correlated Electrons · Physics 2024-07-11 Vivek Kumar , Pradeep Kumar

We discuss physical properties of `integer' topological phases of bosons in D=3+1 dimensions, protected by internal symmetries like time reversal and/or charge conservation. These phases invoke interactions in a fundamental way but do not…

Strongly Correlated Electrons · Physics 2013-03-14 Ashvin Vishwanath , T. Senthil

A characteristic feature of topological systems is the presence of robust gapless edge states. In this work the effect of time-dependent perturbations on the edge states is considered. Specifically we consider perturbations that can be…

Superconductivity · Physics 2017-01-16 P. D. Sacramento

The manipulation of the helical edge states of two-dimensional topological insulators is crucial for the development of technological applications. Recently, an important step forward, namely, the experimental realization of a quantum point…

Mesoscale and Nanoscale Physics · Physics 2020-07-28 C. Fleckenstein , N. Traverso Ziani , L. Privitera , M. Sassetti , B. Trauzettel

Topological insulators are quantum materials that have an insulating bulk state and a topologically protected metallic surface state with spin and momentum helical locking and a Dirac-like band structure. Unique and fascinating electronic…

Optics · Physics 2018-11-21 Zengji Yue , Xiaolin Wang , Min Gu

Time-dependent perturbations can drive a trivial two-dimensional band insulator into a quantum Hall-like phase, with protected nonequilibrium states bound to its edges. We propose an experiment to probe the existence of these topological…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Benjamin M. Fregoso , Jan P. Dahlhaus , Joel E. Moore

Topological defects (including disclinations and dislocations) which commonly exist in various materials have shown an amazing ability to produce excellent mechanical and physical properties of matters. In this paper, disclinations and…

Materials Science · Physics 2021-02-16 Baizhan Xia , Liang Tong , Jie Zhang , Shengjie Zheng , Xianfeng Man

Topological mechanical metamaterials are artificial structures whose unusual properties are protected very much like their electronic and optical counterparts. Here, we present an experimental and theoretical study of an active metamaterial…

Soft Condensed Matter · Physics 2015-12-08 Lisa M. Nash , Dustin Kleckner , Alismari Read , Vincenzo Vitelli , Ari M. Turner , William T. M. Irvine

In the flurry of experiments looking for topological insulator materials, it has been recently discovered that some bulk metals very close to topological insulator electronic states, support the same topological surface states that are the…

Disordered Systems and Neural Networks · Physics 2011-10-20 Doron L. Bergman , Gil Refael

Quantum entanglement and classical topology are two distinct phenomena that are difficult to be connected together. Here we discover that an open bosonic quadratic chain exhibits topology-induced entanglement effect. When the system is in…

Quantum Physics · Physics 2023-12-11 Yaohua Li , Yong-Chun Liu

Topological insulators are bulk electronic insulators which possess symmetry protected gapless modes on their surfaces. Breaking the symmetries that underlie the gapless nature of the surface modes is predicted to give rise to exotic new…

Strongly Correlated Electrons · Physics 2014-10-15 J. G. Checkelsky , R. Yoshimi , A. Tsukazaki , K. S. Takahashi , Y. Kozuka , J. Falson , M. Kawasaki , Y. Tokura

Topologically gapless edge states, characterized by topological invariants and Berry's phases of bulk energy bands, provide amazing techniques to robustly control the reflectionless propagation of electrons, photons and phonons. Recently, a…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Haiyan Fan , Baizhan Xia , Liang Tong , Shengjie Zheng , Dejie Yu

Topological physics opens up a plethora of exciting phenomena allowing to engineer disorder-robust unidirectional flows of light. Recent advances in topological protection of electromagnetic waves suggest that even richer functionalities…

The quantization of conductance in the presence of non-magnetic point defects is a consequence of topological protection and the spin-momentum locking of helical edge states in two-dimensional topological insulators. This protection ensures…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 Mohadese Karimi , Mohsen Amini , Morteza Soltani , Mozhgan Sadeghizadeh

Nanowires with helical surface states represent key prerequisites for observing and exploiting phase-coherent topological conductance phenomena, such as spin-momentum locked quantum transport or topological superconductivity. We demonstrate…