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The fractional quantum Hall effect has recently been shown to exist in heterostructures of van der Waals materials without an externally applied magnetic field, e.g. in twisted bilayers of MoTe$_2$. These fractional Chern insulators break…

Strongly Correlated Electrons · Physics 2025-09-23 Sahana Das , Glenn Wagner , Titus Neupert

Topological insulators (TIs) are promising for achieving dissipationless transport devices due to the robust gapless states inside the insulating bulk gap. However, currently realized 2D TIs, quantum spin Hall (QSH) insulators, suffer from…

The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Here, we give a theoretical introduction to the quantum anomalous Hall (QAH) effect based on magnetic topological…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Jing Wang , Biao Lian , Shou-Cheng Zhang

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

The recent production of synthetic magnetic fields acting on electroneutral particles, like atoms or photons, has boosted the interest in the quantum Hall physics of bosons. Adding pseudospin-1/2 to the bosons greatly enriches the scenario,…

Quantum Gases · Physics 2014-01-14 Tobias Graß , David Raventós , Maciej Lewenstein , Bruno Juliá-Díaz

The band-inverted electron-hole bilayers, such as InAs/GaSb, are an interesting playground for the interplay of quantum spin Hall effect and correlation effects because of the small density of electrons and holes and the relatively small…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Tania Paul , V. Fernández Becerra , Timo Hyart

Quantum wells in InAs/GaSb heterostructures can be tuned to a topological regime associated with the quantum spin Hall effect, which arises due to an inverted band gap and hybridized electron and hole states. Here, we investigate…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 Florinda Viñas Boström , Athanasios Tsintzis , Michael Hell , Martin Leijnse

We propose an optical counterpart of the quantum spin Hall (QSH) effect in a two-dimensional photonic crystal composed of a gyrotropic medium exhibiting both gyroelectric and gyromagnetic properties simultaneously. Such QSH effect shows…

We study the phase diagram of a model quantum spin Hall system as a function of band inversion and band-coupling strength, demonstrating that when band hybridization is weak, an interaction-induced nematic insulator state emerges over a…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Fei Xue , Allan H. MacDonald

The field of topological insulators (TI) was sparked by the prediction of the quantum spin Hall effect (QSHE) in time reversal invariant systems, such as spin-orbit coupled monolayer graphene. Ever since, a variety of monolayer crystals…

Mesoscale and Nanoscale Physics · Physics 2018-01-19 Sanfeng Wu , Valla Fatemi , Quinn D. Gibson , Kenji Watanabe , Takashi Taniguchi , Robert J. Cava , Pablo Jarillo-Herrero

The discovery of the Quantum Spin Hall state, and topological insulators in general, has sparked strong experimental efforts. Transport studies of the Quantum Spin Hall state confirmed the presence of edge states, showed ballistic edge…

Dual quantum spin Hall insulator (QSHI) is a newly discovered topological state in the 2D material TaIrTe$_4$, exhibiting both a traditional $Z_2$ band gap at charge neutrality point and a van Hove singularity (VHS) induced correlated $Z_2$…

Strongly Correlated Electrons · Physics 2024-06-05 Xiangyang Liu , Junwen Lai , Jie Zhan , Tianye Yu , Wujun Shi , Peitao Liu , Xing-Qiu Chen , Yan Sun

Quantum spin Hall (QSH) insulators are materials that feature an insulating bulk and host edge states protected by time-reversal symmetry. The helical locking of spin and momentum in these states suppresses backscattering of charge…

We consider a buckled quantum spin Hall insulator (QSHI), such as silicene, proximity-coupled to a conventional spin-singlet, s-wave superconductor. Even limiting the discussion to the disorder-robust s-wave pairing symmetry, we find both…

Superconductivity · Physics 2017-11-17 Dushko Kuzmanovski , Annica M. Black-Schaffer

The quantum anomalous Hall effect (QAHE), the last member of Hall family, was predicted to exhibit quantized Hall conductivity e2/h without any external magnetic field. The QAHE shares a similar physical phenomenon with the integer quantum…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Cui-Zu Chang , Mingda Li

Moir\'e materials provide fertile ground for the correlated and topological quantum phenomena. Among them, the quantum anomalous Hall (QAH) effect, in which the Hall resistance is quantized even under zero magnetic field, is a direct…

Based on first-principles calculations, we predict that the monolayer AuTe2Cl is a quantum spin Hall (QSH) insulator with a topological band gap about 10 meV. The three-dimensional (3D) AuTe2Cl is a topological semimetal that can be viewed…

Materials Science · Physics 2020-12-22 Guyue Zhong , Q. Xie , Gang Xu

Of the available classes of insulators which have been shown to contain topologically non-trivial properties one of the most important is class AII, which contains systems that possess time-reversal symmetry $T$ with $T^2=-1.$ This class…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Matthew J. Gilbert , B. Andrei Bernevig , Taylor L. Hughes

Graphene is the first model system of two-dimensional topological insulator (TI), also known as quantum spin Hall (QSH) insulator. The QSH effect in graphene, however, has eluded direct experimental detection because of its extremely small…

Mesoscale and Nanoscale Physics · Physics 2019-04-12 Liangzhi Kou , Feiming Hu , Binghai Yan , Tim Wehling , Claudia Felser , Thomas Frauenheim , Changfeng Chen

The quantum Hall effect, which exhibits a number of unusual properties, is studied in a gated 1000-nm-thick HgTe film, nominally a three-dimensional system. A weak zero plateau of Hall resistance, accompanied by a relatively small value of…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 M. L. Savchenko , D. A. Kozlov , S. S. Krishtopenko , N. N. Mikhailov , Z. D. Kvon , A. Pimenov , D. Weiss