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The theory of magnetoresistance of the edge state of a two-dimensional topological insulator is developed. The magnetic field violates the time-reversal invariance. Magnetoresistance arises due to the energy gap opened by a magnetic field…

Mesoscale and Nanoscale Physics · Physics 2021-01-07 Leonid Braginsky , M. V. Entin

In magnetic topological insulators, the surface states can exhibit a gap due to the breaking of time-reversal symmetry. Various experiments, while suggesting the existence of the surface gap, have raised questions about its underlying…

Mesoscale and Nanoscale Physics · Physics 2024-11-20 Habib Rostami , Ali G. Moghaddam

Magnetic topological insulators (MnBi$_2$Te$_4$)(Bi$_2$Te$_3$)$_n$ were anticipated to exhibit magnetic energy gaps while recent spectroscopic studies did not observe them. Thus, magnetism on the surface is under debate. In this work, we…

Materials Science · Physics 2022-10-31 Hengxin Tan , Daniel Kaplan , Binghai Yan

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…

Strongly Correlated Electrons · Physics 2015-07-08 T. Neupert , S. Rachel , R. Thomale , M. Greiter

Gapless surface states of time reversal invariant topological insulators are protected by the anti-unitary nature of the time reversal operation. Very recently, this idea was generalized to magnetic structures, in which time reversal…

Mesoscale and Nanoscale Physics · Physics 2015-04-01 Rui-Xing Zhang , Chao-Xing Liu

We introduce a novel class of interaction-enabled topological crystalline insulators in two- and three-dimensional electronic systems, which we call "topological crystalline magnet." It is protected by the product of the time-reversal…

Strongly Correlated Electrons · Physics 2017-03-08 Haruki Watanabe , Liang Fu

We extend the coupled-wire construction of quantum Hall phases, and search for fractional topological insulating states in models of weakly coupled wires at zero external magnetic field. Focussing on systems beyond double copies of…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Tobias Meng , Eran Sela

It is well known that the 3D electronic topological insulator (TI) with charge-conservation and time-reversal symmetry cannot have a trivial insulating surface that preserves symmetry. It is often implicitly assumed that if the TI surface…

Strongly Correlated Electrons · Physics 2014-05-20 Chong Wang , Andrew C. Potter , T. Senthil

The surface of a topological insulator hosts a very special form of a quasi-two dimensional metallic system when it is embedded in a topologically trivial medium like the vacuum. The electronic properties of this unusual 2D metal are…

Mesoscale and Nanoscale Physics · Physics 2012-08-13 M. M. Vazifeh , M. Franz

We study the effect of electron-electron interaction on the surface resistivity of three-dimensional (3D) topological insulators. In the absence of umklapp scattering, the existence of the Fermi-liquid ($T^2$) term in resistivity of a…

Materials Science · Physics 2016-03-08 H. K. Pal , V. I. Yudson , D. L. Maslov

Topological insulators exhibit gapless edge or surface states that are topologically protected by time-reversal symmetry. However, several promising candidates for topologically insulating materials (such as Bi$_2$Se$_3$ and HgTe) contain…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Arian Vezvaee , Antonio Russo , Sophia E. Economou , Edwin Barnes

We show that arbitrarily weak interparticle interactions destabilize the surface states of 3D topological superconductors with spin SU(2) invariance (symmetry class CI), in the presence of non-magnetic disorder. The conduit for the…

Disordered Systems and Neural Networks · Physics 2015-06-04 Matthew S. Foster , Emil A. Yuzbashyan

Topological insulators with a time reversal symmetry breaking perturbation near the surface present a magnetoelectric response that is quantized when the frequency of the probing fields is much smaller than the surface gap induced by the…

Mesoscale and Nanoscale Physics · Physics 2012-08-24 Adolfo G. Grushin , Fernando de Juan

Three dimensional topological insulator represents a class of novel quantum phases hosting robust gapless boundary excitations, which is protected by global symmetries such as time reversal, charge conservation and spin rotational symmetry.…

Mesoscale and Nanoscale Physics · Physics 2014-03-25 Yuan-Ming Lu , Dung-Hai Lee

We study topological crystalline insulators doped with magnetic impurities, in which ferromagnetism at the surface lowers the electronic energy by spontaneous breaking of a crystalline symmetry. The number of energetically equivalent ground…

Strongly Correlated Electrons · Physics 2017-12-06 Sahinur Reja , H. A. Fertig , L. Brey , Shixiong Zhang

We study a magnetization reversal by an electric current pulse in a superconductor/insulating ferromagnet/superconductor Josephson junction placed on top of a 3D topological insulator. It is demonstrated that such a system is perspective…

Superconductivity · Physics 2020-10-21 I. V. Bobkova , A. M. Bobkov , I. R. Rahmonov , A. A. Mazanik , K. Sengupta , Yu. M. Shukrinov

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

Topological insulators are new states of matter with a bulk gap and robust gapless surface states protected by time-reversal symmetry. When time-reversal symmetry is broken, the surface states are gapped, which induces a topological…

Materials Science · Physics 2015-03-20 Weidong Luo , Xiao-Liang Qi

Coupling of the spin and orbital degrees of freedom on the surface of a strong three-dimensional insulator, on the one hand, and textured magnetic configuration in an adjacent ferromagnetic film, on the other, is studied using a combination…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Yaroslav Tserkovnyak , D. A. Pesin , Daniel Loss

Topological insulators as new type of quantum matter materials are characterized by a full insulating gap in the bulk and gapless edge/surface states which are protected by time-reversal symmetry. We propose the interference patterns caused…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 Jing Wang , Bang-Fen Zhu
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