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Recent years saw the complete classification of topological band structures, revealing an abundance of topological crystalline insulators. Here we theoretically demonstrate the existence of topological materials beyond this framework,…

介观与纳米尺度物理 · 物理学 2019-11-13 Daniel Varjas , Alexander Lau , Kim Pöyhönen , Anton R. Akhmerov , Dmitry I. Pikulin , Ion Cosma Fulga

Many-body interactions in topological quantum systems can give rise to new phases of matter, which simultaneously exhibit both rich spatial features and topological properties. In this work, we consider spinless fermions on a checkerboard…

量子气体 · 物理学 2020-12-10 Sergi Julià-Farré , Markus Müller , Maciej Lewenstein , Alexandre Dauphin

Periodically driven systems with internal and spatial symmetries can exhibit a variety of anomalous boundary behaviors at both the zero and $\pi$ quasienergies despite the trivial bulk Floquet bands. These phenomena are called anomalous…

介观与纳米尺度物理 · 物理学 2022-02-22 DinhDuy Vu

Topological phases can not only be protected by internal symmetries (e.g., time-reversal symmetry), but also by crystalline symmetries, such as reflection or rotation symmetry. Recently a complete topological classification of reflection…

介观与纳米尺度物理 · 物理学 2015-05-26 Ching-Kai Chiu , Andreas P. Schnyder

Topological insulators are distinguished from normal insulators by their bulk insulating gap and odd number of surface states connecting the inverted conduction and valence bands and showing Dirac cones at the time-reversal invariant points…

材料科学 · 物理学 2015-05-18 Hosub Jin , Jung-Hwan Song , Arthur J. Freeman

We introduce a method, dubbed the flux-fusion anomaly test, to detect certain anomalous symmetry fractionalization patterns in two-dimensional symmetry enriched topological (SET) phases. We focus on bosonic systems with Z2 topological…

强关联电子 · 物理学 2016-10-26 Michael Hermele , Xie Chen

One dimensional laser-written modulated photonic lattices are known to be particularly suitable for diffraction management purposes. Here, we address the connection between discrete non-diffracting states and topological properties in such…

介观与纳米尺度物理 · 物理学 2017-10-10 Matthieu Bellec , Claire Michel , Haisu Zhang , Stelios Tzortzakis , Pierre Delplace

Photonic topological insulators supporting unidirectional topologically protected edge states represent attractive platform for realization of disorder- and backscattering-immune transport of edge excitations in both linear and nonlinear…

Floquet topological insulators are noninteracting quantum systems that, when driven by a time-periodic field, are described by effective Hamiltonians whose bands carry nontrivial topological invariants. A longstanding question concerns the…

介观与纳米尺度物理 · 物理学 2015-06-19 Thomas Iadecola , Titus Neupert , Claudio Chamon

The anomalous Floquet Anderson insulator (AFAI) has been theoretically predicted in step-wise periodically driven models, but its stability under more general driving protocols hasn't been determined. We show that adding disorder to the…

量子气体 · 物理学 2024-06-11 Arijit Dutta , Efe Sen , Jun-Hui Zheng , Monika Aidelsburger , Walter Hofstetter

We investigate the possibility of realizing a disorder-induced topological Floquet spectrum in two-dimensional periodically-driven systems. Such a state would be a dynamical realization of the topological Anderson insulator. We establish…

无序系统与神经网络 · 物理学 2015-02-12 Paraj Titum , Netanel H. Lindner , Mikael C. Rechtsman , Gil Refael

We study the scattering of the Dirac electrons by a point-like nonmagnetic impurity on the surface of a topological insulator, driven by a time-periodic gate voltage. It is found that, due to the doublet degenerate crossing points of…

介观与纳米尺度物理 · 物理学 2019-10-15 Ming-Xun Deng , R. Ma , Wei Luo , R. Shen , L. Sheng , D. Y. Xing

Topological insulators represent a new state of matter where the topological nature of the bulk bands dictates the existence of a surface state with unique properties. These materials are predicted to host exotic states such as Majorana…

Periodically driven systems, also known as Floquet systems, can realize symmetry protected topological (SPT) phases that cannot be found in equilibrium. Here, we seek to understand the effects of strong disorder on such SPT phases, working…

无序系统与神经网络 · 物理学 2015-12-15 Yuval Gannot

Topological insulators embody a newly discovered state of matter characterized by conducting spin-momentum locked surface states that span the bulk band gap. So far, most of the study on topological insulator surfaces has been limited to…

介观与纳米尺度物理 · 物理学 2012-06-04 L. A. Wray , Y. Xia , S. -Y. Xu , Y. S. Hor , R. J. Cava , A. Bansil , H. Lin , M. Z. Hasan

A central property of (Chern) topological insulators is the presence of robust asymmetric transport along interfaces separating two-dimensional insulating materials in different topological phases. A Topological Anderson Insulator is an…

偏微分方程分析 · 数学 2023-11-28 Guillaume Bal , Thuyen Dang

We study the properties of a family of anti-pervoskite materials, which are topological crystalline insulators with an insulating bulk but a conducting surface. Using ab-initio DFT calculations, we investigate the bulk and surface topology…

介观与纳米尺度物理 · 物理学 2017-02-06 Ching-Kai Chiu , Y. -H. Chan , Xiao Li , Y. Nohara , A. P. Schnyder

A workable model for describing dislocation lines introduced into a three-dimensional topological insulator is proposed. We show how fragile surface Dirac cones of a weak topological insulator evolve into protected gapless helical modes…

介观与纳米尺度物理 · 物理学 2015-03-19 Ken-Ichiro Imura , Yositake Takane , Akihiro Tanaka

Photoinduced topological phase transitions in the Dirac-electron systems have attracted intensive research interest since its theoretical prediction in graphene, where the application of circularly polarized light opens a gap at the Dirac…

强关联电子 · 物理学 2022-09-27 Keisuke Kitayama , Masao Ogata , Masahito Mochizuki , Yasuhiro Tanaka

This paper analyzes Floquet topological insulators resulting from the time-harmonic irradiation of electromagnetic waves on two dimensional materials such as graphene. We analyze the bulk and edge topologies of approximations to the…

数学物理 · 物理学 2021-01-19 Guillaume Bal , Daniel Massatt
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