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The robustness of quantum edge transport in InAs/GaSb quantum wells in the presence of magnetic fields raises an issue on the fate of topological phases of matter under time-reversal symmetry breaking. A peculiar band structure evolution in…

Mesoscale and Nanoscale Physics · Physics 2018-01-23 Chang-An Li , Song-Bo Zhang , Shun-Qing Shen

For heterostructures formed by a quantum spin Hall insulator (QSHI) placed in proximity to a superconductor (SC), no external magnetic field is necessary to drive the system into a phase supporting topological superconductivity with…

Among the most interesting predictions in two-dimensional materials with a Dirac cone is the existence of the zeroth Landau level (LL), equally filled by electrons and holes with opposite chirality. The gapless edge states with helical spin…

Mesoscale and Nanoscale Physics · Physics 2017-07-25 G. M. Gusev , D. A. Kozlov , A. D. Levin , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky

Usually the quantum spin Hall states are expected to possess gapless, helical edge modes. Are there clean, non-interacting, quantum spin Hall states without gapless, edge modes? We show the generic, $n$-fold-symmetric, momentum planes of…

Mesoscale and Nanoscale Physics · Physics 2022-06-10 Alexander C. Tyner , Shouvik Sur , Danilo Puggioni , James M. Rondinelli , Pallab Goswami

We study transport properties of HgTe quantum wells with critical well thickness, where the band gap is closed, and the low energy spectrum is described by a single Dirac cone. In this work, we examined both macroscopic and micron-sized…

Mesoscale and Nanoscale Physics · Physics 2022-06-16 G. M. Gusev , A. D. Levin , D. A. Kozlov , Z. D. Kvon , N. N. Mikhailov

We demonstrate evidences of electronic transport via topological Dirac surface states in a thin film of strained HgTe. At high perpendicular magnetic fields, we show that the electron transport reaches the quantum Hall regime with vanishing…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 C. Thomas , O. Crauste , B. Haas , P. H. Jouneau , C. Bäuerle , L. P. Lévy , E. Orignac , D. Carpentier , P. Ballet , T. Meunier

Quantum spin Hall insulators, recently realized in HgTe/(Hg,Cd)Te quantum wells, support topologically protected, linearly dispersing edge states with spin-momentum locking. A local magnetic exchange field can open a gap for the edge…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Carsten Timm

We investigate magnetoresistivity and the Hall effect in a 6.3 nm gapless HgTe quantum well - a two-dimensional hybrid band system featuring coexisting linear (Dirac-like) and parabolic hole energy bands at low energies. Using a classical…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 G. M. Gusev , A. D. Levin , V. A. Chitta , Z. D. Kvon , N. N. Mikhailov

We study the influence of sample termination on the electronic properties of the novel quantum spin Hall insulator monolayer $1T'$-WTe$_2$. For this purpose, we construct an accurate, minimal 4-orbital tight-binding model with spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 Alexander Lau , Rajyavardhan Ray , Daniel Varjas , Anton Akhmerov

The quantum geometry, comprising Berry curvature and quantum metric, plays a fundamental role in governing electron transport phenomena in solids. Recent studies show that the quantum metric dipole drives scattering-free nonlinear Hall…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Tong-Yang Zhao , An-Qi Wang , Zhen-Tao Zhang , Zheng-Yang Cao , Xing-Yu Liu , Zhi-Min Liao

We report magnetotransport studies on a gated strained HgTe device. This material is a threedimensional topological insulator and exclusively shows surface state transport. Remarkably, the Landau level dispersion and the accuracy of the…

We propose a surface-edge state theory for half quantized Hall conductance of surface states in topological insulators. The gap opening of a single Dirac cone for the surface states in a weak magnetic field is demonstrated. We find a new…

Mesoscale and Nanoscale Physics · Physics 2011-08-29 Rui-Lin Chu , Junren Shi , Shun-Qing Shen

InAs/GaSb heterostructure is one of the systems where quantum spin Hall effect is predicted to arise. However, as confirmed by recent experimental studies, the most significant highlight of the effect i.e., the conductance quantization due…

Mesoscale and Nanoscale Physics · Physics 2019-10-24 Vahid Sazgari , Gerard Sullivan , İsmet İ. Kaya

We consider magnetotransport on a helical edge of a quantum spin Hall insulator, in the presence of bulk midgap states ``side-coupled" to the edge. In the presence of a magnetic field, the midgap levels are spin-split, and hybridization of…

Mesoscale and Nanoscale Physics · Physics 2023-02-27 Youjian Chen , Wenjin Zhao , Elliott Runburg , David Cobden , D. A. Pesin

It is generally believed that the inter-edge coupling destroys the quantum spin Hall (QSH) effect along with the gap opening at the Dirac points. Using first-principles calculations, we find that the quantized edge transport persists in the…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Yuanchang Li

Unconventional surface states protected by non-trivial bulk orders are sources of various exotic quantum transport in topological materials. One prominent example is the unique magnetic orbit, so-called Weyl orbit, in topological semimetals…

We have investigated low-temperature electronic transport on InAs/GaSb double quantum wells, a system which promises to be electrically tunable from a normal to a topological insulator. Hall bars of $50\,\mu$m in length down to a few $\mu$m…

Unconventional features of relativistic Dirac/Weyl quasi-particles in topological materials are most evidently manifested in the 2D quantum Hall effect (QHE), whose variety is further enriched by their spin and/or valley polarization.…

We develop a theory of quantum spin Hall insulators with arbitrary spin $J$. Our analysis demonstrates that such systems support $J+\tfrac{1}{2}$ pairs of helical edge modes protected by nontrivial mirror Chern numbers. We establish that…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Takuto Kawakami , Igor Kuzmenko , Yshai Avishai , Yigal Meir , Masatoshi Sato

The helical edge states in a quantum spin Hall insulator are presumably protected by time- reversal symmetry. However, even in the presence of magnetic field which breaks time-reversal symmetry, the helical edge conduction can still exist,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Hsiu-Chuan Hsu , Min-Jyun Jhang , Tsung-Wei Chen , Guang-Yu Guo
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