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We study spin conductivity of the surface states in a thin film of a topological insulator with Kubo formulas. Hybridization between the different sides of the film opens a gap at the Dirac point. We found that in the gapped region spin…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 R. S. Akzyanov

This paper considers certain materials, including topological insulators, where spin rotation symmetry is broken much more strongly than time reversal symmetry. When these materials are in the diffusive regime, i.e. when they have disorder…

Mesoscale and Nanoscale Physics · Physics 2022-10-25 Vincent Sacksteder

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

A global phase diagram of disordered weak and strong topological insulators is established numerically. As expected, the location of the phase boundaries is renormalized by disorder, a feature recognized in the study of the so-called…

Mesoscale and Nanoscale Physics · Physics 2013-06-14 Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

Several small-bandgap semiconductors are now known to have protected metallic surface states as a consequence of the topology of the bulk electron wavefunctions. The known "topological insulators" with this behavior include the important…

Mesoscale and Nanoscale Physics · Physics 2013-01-01 Pouyan Ghaemi , Roger Mong , Joel E. Moore

Motivated by the experimental difficulty to produce topological insulators (TIs) of the Bi$_2$Se$_3$ family with pure surface-state conduction, we study the effect that the bulk can have on the low-temperature transport properties of gated…

Mesoscale and Nanoscale Physics · Physics 2018-12-31 H. Velkov , G. N. Bremm , T. Micklitz , G. Schwiete

This paper reviews several analytic tools for the field of topological insulators, developed with the aid of non-commutative calculus and geometry. The set of tools includes bulk topological invariants defined directly in the thermodynamic…

Statistical Mechanics · Physics 2010-06-22 Emil Prodan

Topological insulators are bulk semiconductors that manifest in-gap massless Dirac surface states due to the topological bulk-boundary correspondence principle [1-3]. These surface states have been a subject of tremendous ongoing interest,…

Bilinear magnetoresistance is a nonlinear transport phenomenon that scales linearly with the electric and magnetic fields, and appears in nonmagnetic systems with strong spin-orbit coupling, such as topological insulators (TIs). Using the…

Mesoscale and Nanoscale Physics · Physics 2022-03-23 A. N. Zarezad , A. Dyrdał

This paper discusses the topological and transport properties of binary heterostructures of different topological materials. The creation of multilayer devices is an alternative to building synthetic topological materials. By adjusting the…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 R. Pineda , W. Herrera

Topological electromagnetism owing to nontrivial momentum-space topology of electrons in insulators gives rise to diverse anomalous magnetoelectric responses. While conventional inductors and capacitors are based on classical…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Yasufumi Araki , Jun'ichi Ieda

Topological insulators (TIs) have the singular distinction of being electronic insulators while harboring metallic, conductive surfaces. In ordinary materials, defects such as cracks and deformations are barriers to electrical conduction,…

Strongly Correlated Electrons · Physics 2015-06-30 S. Wolgast , Y. S. Eo , Ç. Kurdak , D. -J. Kim , Z. Fisk

Energy gap and wave function in thin films of topological insulator is studied, based on tight--binding model. It is revealed that thickness dependence of the magnitude of energy gap is composed of damping and oscillation. The damped…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Kazuto Ebihara , Keiji Yada , Ai Yamakage , Yukio Tanaka

Ab initio electronic structure calculations based on density functional theory and tight-binding methods for the thermoelectric properties of p-type Sb$_2$Te$_3$ films are presented. The thickness-dependent electrical conductivity and the…

Topological protected surface states are one of the hallmarks of three-dimensional topological insulators. In this work we theoretically analyze the gate-voltage-effects on a quasi-3D layer of HgTe. We find that while the gapless surface…

Mesoscale and Nanoscale Physics · Physics 2014-12-04 Yuval Baum , Jan Böttcher , Christoph Brüne , Cornelius Thienel , Laurens W. Molenkamp , Ady Stern , Ewelina M. Hankiewicz

Recently, $\mathrm{BaSn_2}$ is predicted to be a strong topological insulator by the first-principle calculations. It is well known that topological insulator has a close connection to thermoelectric material, such as $\mathrm{Bi_2Te_3}$…

Materials Science · Physics 2016-12-21 San-Dong Guo , Liang Qiu

We present detailed data on the unusual angular-dependent magnetoresistance oscillation phenomenon recently discovered in a topological insulator Bi_{0.91}Sb_{0.09}. Direct comparison of the data taken before and after etching the sample…

Materials Science · Physics 2015-05-20 A. A. Taskin , Kouji Segawa , Yoichi Ando

In this article, we will give a brief introduction to the topological insulators. We will briefly review some of the recent progresses, from both theoretical and experimental sides. In particular, we will emphasize the recent progresses…

Materials Science · Physics 2015-09-24 Hongming Weng , Xi Dai , Zhong Fang

Three-dimensional topological insulators represent a new class of materials in which transport is governed by Dirac surface states while the bulk remains insulating. Due to helical spin polarization of the surface states, the coupling of a…

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…

Applied Physics · Physics 2022-12-12 Zhe Zhang , Pierre Delplace , Romain Fleury