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A topological insulator is classically modeled as an isotropic dielectric-magnetic with a magnetoelectric pseudoscalar $\Psi$ existing in its bulk while its surface is charge-free and current-free. An alternative model is obtained by…

Optics · Physics 2017-07-06 Akhlesh Lakhtakia , Tom G. Mackay

The creation of topologically non-trivial matter across electronic, mechanical, cold-atom, and photonic platforms is advancing rapidly, yet understanding the breakdown of topological protection remains a major challenge. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2025-03-05 George M. Ferguson , Run Xiao , Anthony R. Richardella , Austin Kaczmarek , Nitin Samarth , Katja C. Nowack

One of the hallmarks of time-reversal-symmetric topological insulators in three dimensions is the topological magnetoelectric effect (TME). So far, a time-reversal breaking variant of this effect has attracted much attention, in the sense…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Heinrich-Gregor Zirnstein , Bernd Rosenow

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

Motivated by observations of zero-biased photocurrent on the surface of topological insulators, we show that the in-plane effective magnetic field $\tilde B$ implements a moving frame transformation on the topological insulators' helical…

Mesoscale and Nanoscale Physics · Physics 2024-04-16 S. A. Jafari

A topological insulator doped with random magnetic impurities is studied. The system is modelled by the Kane-Mele model with a random spin exchange between conduction electrons and magnetic dopants. The dynamical mean field theory for…

Strongly Correlated Electrons · Physics 2020-11-25 Thanh-Mai Thi Tran , Duc-Anh Le , Tuan-Minh Pham , Kim-Thanh Thi Nguyen , Minh-Tien Tran

When time-reversal symmetry is weakly broken and interactions are neglected, the surface of a $Z_{2}$ topological insulator supports a half-quantized Hall conductivity $\sigma_{S} = e^{2}/(2h)$. A surface Hall conductivity in an insulator…

Strongly Correlated Electrons · Physics 2015-12-16 Karin Everschor-Sitte , Matthias Sitte , Allan H. MacDonald

We investigate the effect of interactions on the stability of a disordered, two-dimensional topological insulator realized as an array of nanowires or chains of magnetic atoms on a superconducting substrate. The Majorana zero-energy modes…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 A. Milsted , L. Seabra , I. C. Fulga , C. W. J. Beenakker , E. Cobanera

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

We discuss the effect of a magnetic thin-film ribbon at the surface of a topological insulator on the charge and spin transport due to surface electrons.\\ If the magnetization in the magnetic ribbon is perpendicular to the surface of a…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 P. R. Rzeszutko , S. Kudla , V. K. Dugaev

Adding a small subdominant quadratic in momentum term to a dominant linear Dirac dispersion curve affects conduction and valence band differently and leads to an hourglass-like structure for energy as a function of momentum. This applies to…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 Zhou Li , J. P. Carbotte

A positive, non-saturating and dominantly linear magnetoresistance is demonstrated to occur in the surface state of a topological insulator having a wavevector-linear energy dispersion together with a finite positive Zeeman energy…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 C. M. Wang , X. L. Lei

Magnetically-doped topological insulators are intensely studied in the search for exotic phenomena such as the quantum anomalous Hall effect. The interplay of electronic and impurity degrees of freedom leads to the Kondo effect, an increase…

Mesoscale and Nanoscale Physics · Physics 2013-10-03 Jie Wang , Dimitrie Culcer

A striking feature of 3 dimensional (3D) topological insulators (TIs) is the theoretically expected topological magneto-electric (TME) effect, which gives rise to additional terms in Maxwell's laws of electromagnetism with an universal…

Mesoscale and Nanoscale Physics · Physics 2022-12-12 Christian Berger , Florian Bayer , Laurens W. Molenkamp , Tobias Kiessling

We present a theoretical study of the nonlinear magneto-optical shift conductivity in the surface states of the prototypical topological insulator Bi$_2$Se$_3$ under a perpendicular quantizing magnetic field. By describing the electronic…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Haoyu Li , Kainan Chang , Wang-Kong Tse , Jin Luo Cheng

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

Magnetic topological insulators (MTIs) are among the prominent platforms for the next generation of high-speed and low-power spintronic devices. However, unlike their non-magnetic counterparts, where the surface spin-momentum locking…

Mesoscale and Nanoscale Physics · Physics 2025-10-15 Amir Sabzalipour , Mohammad Shafiei , Milorad V. Milošević

We theoretically study the magnetic proximity effect in the three dimensional (3D) topological insulator/ferromagnetic insulator (TI/FMI) structures in the context of possibility to manage the Dirac helical state in TI. Within continual…

Materials Science · Physics 2014-06-30 V. N. Men'shov , V. V. Tugushev , S. V. Eremeev , P. M. Echenique , E. V. Chulkov

We study theoretically the surface of a topological insulator with a sliding magnetic superlattice coated above. By analyzing time-dependent Dirac equations, the dynamics of the zero mode is investigated. When the superlattice's sliding…

Mesoscale and Nanoscale Physics · Physics 2010-05-25 Motohiko Ezawa , Jiadong Zang

Topological insulators are characterized by specially protected conduction on their outer boundaries. We show that the protected edge conduction exhibited by 2-D topological insulators (and also Chern insulators) is independent of…

Mesoscale and Nanoscale Physics · Physics 2015-09-01 Quansheng Wu , Liang Du , Vincent E. Sacksteder
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