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When a two-dimensional electron gas is exposed to a perpendicular magnetic field and an in-plane electric field, its conductance becomes quantized in the transverse in-plane direction: this is known as the quantum Hall (QH) effect. This…

The half-quantized Hall conductance is characteristic of quantum systems with parity anomaly. Here we investigate topological and transport properties of a class of parity anomalous semimetals, in which massive Dirac fermions coexist with…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Jin-Yu Zou , Bo Fu , Huan-Wen Wang , Zi-Ang Hu , Shun-Qing Shen

Three-dimensional topological insulators represent a new quantum phase of matter with spin-polarized surface states that are protected from backscattering. The static electronic properties of these surface states have been comprehensively…

Mesoscale and Nanoscale Physics · Physics 2011-12-06 J. W. McIver , D. Hsieh , H. Steinberg , P. Jarillo-Herrero , N. Gedik

When phonons couple to fermions in 2D semimetals, the interaction may turn the system into an insulator. There are several insulating phases in which the time reversal and the sublattice symmetries are spontaneously broken. Examples are…

Strongly Correlated Electrons · Physics 2021-05-12 Andreas Sinner , Klaus Ziegler

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 present comparative theoretical investigation of thermoelectric power and Hall effect in the Hubbard model for correlated metal and Mott insulator (considered as prototype cuprate superconductor) for different concentrations of current…

Strongly Correlated Electrons · Physics 2024-01-23 E. Z. Kuchinskii , N. A. Kuleeva , M. V. Sadovskii

The unique electronic properties of the surface electrons in a topological insulator are protected by time-reversal symmetry. Circularly polarized light naturally breaks time-reversal symmetry, which may lead to an exotic surface quantum…

Mesoscale and Nanoscale Physics · Physics 2013-10-29 Y. H. Wang , H. Steinberg , P. Jarillo-Herrero , N. Gedik

We propose a class of three-dimensional metamaterial architectures composed of a single doped semiconductor (e.g., n-Si) in air or vacuum that lead to unusual effective behavior of the classical Hall effect. Using an anisotropic structure,…

Classical Physics · Physics 2015-10-28 Christian Kern , Muamer Kadic , Martin Wegener

In this paper we propose that, quantized and nearly half-quantized intrinsic anomalous Hall effect can be induced by in-plane external magnetic field through the Zeeman coupling in non-magnetic 2D systems with sizeable spin-orbital coupling…

Mesoscale and Nanoscale Physics · Physics 2022-12-28 Song Sun , Hongming Weng , Xi Dai

The effect of surface disorder on electronic systems is particularly interesting for topological phases with surface and edge states. Using exact diagonalization, it has been demonstrated that the surface states of a 3D topological…

Disordered Systems and Neural Networks · Physics 2015-08-12 Kun Woo Kim , Roger S. K. Mong , Marcel Franz , Gil Refael

We propose a memory device based on magnetically doped surfaces of 3D topological insulators. Magnetic information stored on the surface is read out via the quantized Hall effect, which is characterized by a topological invariant.…

Mesoscale and Nanoscale Physics · Physics 2011-09-09 T. Fujita , M. B. A. Jalil , S. G. Tan

We demonstrate that a Chern insulator could be realized on a real two-dimensional lattice of an organic Dirac semimetal {\alpha}-(BEDT-TTF)2I3 by introducing potential and magnetic modulations in a unit cell. It is a…

Materials Science · Physics 2017-11-22 Toshihito Osada

We propose that half-quantized helical hinge currents manifest as the fingerprint of the axion insulator (AI). These helical hinge currents microscopically originate from the lateral Goos-H\"anchen (GH) shift of massless side-surface Dirac…

Mesoscale and Nanoscale Physics · Physics 2024-02-07 Ming Gong , Haiwen Liu , Hua Jiang , Chui-Zhen Chen , X. C. Xie

The recently discovered topological Dirac semimetal represents a new exotic quantum state of matter. Topological Dirac semimetals can be viewed as three dimensional analogues of graphene, in which the Dirac nodes are protected by…

Mesoscale and Nanoscale Physics · Physics 2017-06-12 Rui Chen , Dong-Hui Xu , Bin Zhou

The quest for non-Abelian quasiparticles has inspired decades of experimental and theoretical efforts, where the scarcity of direct probes poses a key challenge. Among their clearest signatures is a thermal Hall conductance with quantized…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 I. C. Fulga , Yuval Oreg , Alexander D. Mirlin , Ady Stern , David F. Mross

We propose an experimental scheme to probe the contribution of a single Dirac cone to the Hall conductivity as half-odd topological number sequence. In our scheme, the quantum anomalous Hall effect as in graphene is simulated with cold…

Quantum Gases · Physics 2015-05-28 Feng Mei , Shi-Liang Zhu , Xun-Li Feng , Zhi-Ming Zhang , C. H. Oh

We study the quantum Hall effect (QHE) in the three-dimensional topological insulator HgTe, which features topological Dirac-type surface states in a bulk gap opened by strain. Despite the co-existence of multiple carrier subsystems, the…

Mesoscale and Nanoscale Physics · Physics 2024-10-25 S. Hartl , L. Freund , M. Kühn , J. Ziegler , E. Richter , W. Himmler , J. Bärenfänger , D. A. Kozlov , N. N. Mikhailov , J. Weis , D. Weiss

We study a bilayer two-dimension-electron-gas (2DEG) adjacent to a type-II superconductor thin film with a pinned vortex lattice. We find that with increasing interlayer tunneling, the system of half filling presents three phases: gapped…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Ningning Hao , Wei Zhang , Zhigang Wang , Yupeng Wang , Ping Zhang

Three-dimensional topological insulator films in contact with magnetic layers exhibit intriguing magneto-optical and magnetoelectric phenomena, but little is known beyond the linear response regime. We demonstrate that the presence of two…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 A. G. Mal'shukov , Hans Skarsvag , Arne Brataas

Axion insulators are 3D magnetic higher-order topological insulators protected by inversion-symmetry that exhibit hinge-localized chiral channels and induce quantized topological magnetoelectric effects. Recent research has suggested that…

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