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Topological insulators are crystalline materials that have revolutionized our ability to control wave transport. They provide us with unidirectional channels that are immune to obstacles, defects or local disorder, and can even survive some…

应用物理 · 物理学 2022-12-12 Zhe Zhang , Pierre Delplace , Romain Fleury

One-dimensional topological Anderson insulators provide a paradigm for disorder-induced topological phases in which the underlying system turns from a trivial to a topological phase. It is widely recognized that the latter vanishes at large…

介观与纳米尺度物理 · 物理学 2026-01-22 Marwa Mannai , Yaoyao Shu , Sonia Haddad , Mina Ren , Hong Chen , Yong Sun , Hisham Sati

Topological phases of quantum matter defy characterization by conventional order parameters but can exhibit quantized electro-magnetic response and/or protected surface states. We examine such phenomena in a model for three-dimensional…

强关联电子 · 物理学 2012-10-03 Ara Go , William Witczak-Krempa , Gun Sang Jeon , Kwon Park , Yong Baek Kim

Topological states require the presence of extended bulk states, as usually found in the picture of energy bands and topological states bridging the bulk gaps. But in driven systems this can be circumvented, and one can get topological…

介观与纳米尺度物理 · 物理学 2020-01-08 Esteban A. Rodriguez-Mena , L. E. F. Foa Torres

We study disorder effects in a two-dimensional system with chiral symmetry and find that disorder can induce a quadrupole topological insulating phase (a higher-order topological phase with quadrupole moments) from a topologically trivial…

介观与纳米尺度物理 · 物理学 2021-02-05 Yan-Bin Yang , Kai Li , L. -M. Duan , Yong Xu

Topological matter is a trending topic in condensed matter: From a fundamental point of view it has introduced new phenomena and tools, and for technological applications, it holds the promise of basic stable quantum computing. Similarly,…

无序系统与神经网络 · 物理学 2016-08-29 Eduardo V. Castro , Raphael de Gail , M. Pilar López-Sancho , María A. H. Vozmediano

We investigate the role of disorder in the edge transport of axion insulator films. We predict by first-principles calculations that even-number-layer MnBi$_2$Te$_4$ have gapped helical edge states. The random potential will dramatically…

介观与纳米尺度物理 · 物理学 2023-12-08 Zhaochen Liu , Dongheng Qian , Yadong Jiang , Jing Wang

We show that a three dimensional topological insulator doped with magnetic impurities in the bulk can have a regime where the surface is magnetically ordered but the bulk is not. This is in contrast to conventional materials where bulk…

介观与纳米尺度物理 · 物理学 2012-05-11 G. Rosenberg , M. Franz

This article reviews recent theoretical and experimental work on transport due to the surface states of three-dimensional topological insulators. The theoretical focus is on longitudinal transport in the presence of an electric field,…

介观与纳米尺度物理 · 物理学 2012-03-29 Dimitrie Culcer

The strong topological insulator in 3D is expected to realize a quantized magneto-electric response, the so-called axion response. However, many of the materials predicted to be topological insulators have turned out to be metallic, with…

强关联电子 · 物理学 2011-10-20 Doron L. Bergman

Topological materials occupy the central stage in the modern condensed matter physics because of their robust metallic edge or surface states protected by the topological invariant, characterizing the electronic band structure in the bulk.…

介观与纳米尺度物理 · 物理学 2021-08-05 Bitan Roy , Vladimir Juricic

Topological insulators in three dimensions are characterized by a Z2-valued topological invariant, which consists of a strong index and three weak indices. In the presence of disorder, only the strong index survives. This paper studies the…

介观与纳米尺度物理 · 物理学 2016-11-25 H. -M. Guo

We study non-interacting electrons in disordered one-dimensional materials which exhibit a spectral gap, in each of the ten Altland-Zirnbauer symmetry classes. We define an appropriate topology on the space of Hamiltonians so that the…

数学物理 · 物理学 2023-07-04 Jui-Hui Chung , Jacob Shapiro

We report the experimental observation of Anderson localization in two-dimensional (2D) electrons and holes in the bulk of HgTe quantum wells with a semimetallic spectrum and under strong disorder. In contrast, the one-dimensional (1D) edge…

介观与纳米尺度物理 · 物理学 2024-12-10 D. A. Khudaiberdiev , Z. D. Kvon , M. S. Ryzhkov , D. A. Kozlov , N. N. Mikhailov , A. Pimenov

In the three-dimensional topological insulator (TI), the physics of doped semiconductors exists literally side-by-side with the physics of ultra-relativistic Dirac fermions. This unusual pairing creates a novel playground for studying the…

介观与纳米尺度物理 · 物理学 2013-11-12 Brian Skinner , Tianran Chen , B. I. Shklovskii

We study non-interacting electrons in disordered materials which exhibit a spectral gap, in each of the ten Altland--Zirnbauer symmetry classes, in all space dimensions. We define an appropriate space of Hamiltonians and a topology on it so…

数学物理 · 物理学 2026-05-26 Jui-Hui Chung , Jacob Shapiro

Most of our quantitative understanding of disorder-induced metal-insulator transitions comes from numerical studies of simple noninteracting tight-binding models, like the Anderson model in three dimensions. An important outstanding problem…

量子气体 · 物理学 2020-10-07 Filippo Stellin , Giuliano Orso

We numerically investigate the surface states of a strong topological insulator in the presence of strong electron-electron interactions. We choose a spherical topological insulator geometry to make the surface amenable to a finite size…

强关联电子 · 物理学 2015-07-08 T. Neupert , S. Rachel , R. Thomale , M. Greiter

After the classification of topological states of matter has been clarified for non-interacting electron systems, the theoretical connection between gapless boundary modes and nontrivial bulk topological structures, and their evolutions as…

强关联电子 · 物理学 2018-08-15 M. Sasaki , A. Ohnishi , Nabyendu Das , K. -S. Kim , Heon-Jung Kim

Topological insulators are ideally represented as having an insulating bulk with topologically protected, spin-textured surface states. However, it is increasingly becoming clear that these surface transport channels can be accompanied by a…

介观与纳米尺度物理 · 物理学 2017-07-28 E. K. de Vries , S. Pezzini , M. J. Meijer , N. Koirala , M. Salehi , J. Moon , S. Oh , S. Wiedmann , T. Banerjee