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Related papers: Topological insulators in random potentials

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The interplay between magnetism and non-trivial topology in magnetic topological insulators (MTI) is expected to give rise to a variety of exotic topological quantum phenomena, such as the quantum anomalous Hall (QAH) effect and the…

We study the nature of the disorder-induced quantized conductance, i.e., the phenomena of topological Anderson insulator (TAI) induced in HgTe/CdTe semiconductor quantum well. The disorder effect in several different systems where anomalous…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Yanxia Xing , Lei Zhang , Jian Wang

We present an exact solution of a modifed Dirac equation for topological insulator in the presence of a hole or vacancy to demonstrate that vacancies may induce bound states in the band gap of topological insulators. They arise due to the…

Mesoscale and Nanoscale Physics · Physics 2011-07-22 Wen-Yu Shan , Jie Lu , Hai-Zhou Lu , Shun-Qing Shen

We study the influence of the antiferromagnetic order on the surface states of topological insulators. We derive an effective Hamiltonian for these states, taking into account the spatial structure of the antiferromagnetic order. We obtain…

Mesoscale and Nanoscale Physics · Physics 2024-05-14 R. S. Akzyanov , A. L. Rakhmanov

Bi$_{2}$Te$_{3}$ and Bi$_{2}$Se$_{3}$ are well known 3D-topological insulators. Films made of these materials exhibit metal-like surface states with a Dirac dispersion and possess high mobility. The high mobility metal-like surface states…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Parijat Sengupta , Tillmann Kubis , Yaohua Tan , Gerhard Klimeck

(Bi$_{1-x}$Sb$_x$)$_2$Te$_3$ alloys are non-degenerate topological insulators (TIs) whose Dirac point (DP) can be tuned within the bulk bandgap by varying the composition, effectively reducing bulk conduction while allowing surface carrier…

Although topological insulators (TIs) are known to be robust against non-magnetic perturbations and exhibit edge or surface states as their distinct feature, experimentally it is known that vacancies often occur in these materials and…

Materials Science · Physics 2014-06-03 Shi-Ting Lee , Shin-Ming Huang , Chung-Yu Mou

The existence of gapless Dirac surface band of a three dimensional (3D) topological insulator (TI) is guaranteed by the non-trivial topological character of the bulk band, yet the surface band dispersion is mainly determined by the…

Mesoscale and Nanoscale Physics · Physics 2015-09-24 Cui-Zu Chang , Peizhe Tang , Xiao Feng , Kang Li , Xu-Cun Ma , Wenhui Duan , Ke He , Qi-Kun Xue

Three-dimensional topological insulators (TIs) are a perfectly tuned quantum-mechanical machinery in which counter-propagating and oppositely spin-polarized conduction channels balance each other on the surface of the material. This…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 A. I. Figueroa , T. Hesjedal , N. -J. Steinke

In magnetic topological insulators (TIs), the interplay between magnetic order and nontrivial topology can induce fascinating topological quantum phenomena, such as the quantum anomalous Hall effect, chiral Majorana fermions and axion…

The non-trivial topology of the three-dimensional (3D) topological insulator (TI) dictates the appearance of gapless Dirac surface states. Intriguingly, when a 3D TI is made into a nanowire, a gap opens at the Dirac point due to the quantum…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Felix Münning , Oliver Breunig , Henry F. Legg , Stefan Roitsch , Dingxun Fan , Matthias Rößler , Achim Rosch , Yoichi Ando

The recent discovery of topological insulator (TI) offers new opportunities for the development of thermoelectrics, because many TIs (like Bi$_2$Te$_3$) are excellent thermoelectric (TE) materials. In this review, we will first describe the…

Materials Science · Physics 2016-10-26 Yong Xu

Recent theoretical and experimental work has suggested the tantalizing possibility of opening a topological gap upon driving the surface states of a three-dimensional strong topological insulator (TI) with circularly polarized light. With…

Mesoscale and Nanoscale Physics · Physics 2016-12-06 Michael Kolodrubetz , Benjamin M. Fregoso , Joel E. Moore

The quantum anomalous Hall effect (QAHE), characterized by dissipationless quantized edge transport, relies crucially on a non-trivial topology of the electronic bulk bandstructure and a robust ferromagnetic order that breaks time-reversal…

Materials Science · Physics 2019-05-01 M. F. Islam , Anna Pertsova , C. M. Canali

A key feature of topological insulators is the robustness of the electron energy spectrum. At a surface of a topological insulator, Dirac point is protected by the characteristic symmetry of the system. The breaking of the symmetry opens a…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 S. Stagraczynski , L. Chotorlishvili , V. K. Dugaev , C. -L. Jia , A. Ernst , A. Komnik , J. Berakdar

Disorder effects on three-dimensional second-order topological insulators (3DSOTIs) are investigated numerically and analytically. The study is based on a tight-binding Hamiltonian for non-interacting electrons on a cubic lattice with a…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 C. Wang , X. R. Wang

Coupling the surface state of a topological insulator (TI) to an s-wave superconductor is predicted to produce the long-sought Majorana quasiparticle excitations. However, superconductivity has not been measured in surface states when the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Sungjae Cho , Brian Dellabetta , Alina Yang , John Schneeloch , Zhijun Xu , Tonica Valla , Genda Gu , Matthew J. Gilbert , Nadya Mason

Topological insulators have been extended to higher-order versions that possess topological hinge or corner states in lower dimensions. However, their robustness against disorder is still unclear. Here, we theoretically investigate the…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Yedi Shen , Zeyu Li , Qian Niu , Zhenhua Qiao

Three-dimensional strong topological insulators (TIs) guarantee the existence of a 2-D conducting surface state which completely covers the surface of the TI. The TI surface state necessarily wraps around the TI's top, bottom, and two…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Vincent E. Sacksteder , Kristin Bjorg Arnardottir , Stefan Kettemann , Ivan A. Shelykh

Three-dimensional (3D) topological insulators (TI) are novel quantum materials with insulating bulk and topologically protected metallic surfaces with Dirac-like band structure. The spin-helical Dirac surface states are expected to host…