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Quantum Hall effect (QHE), the ground to construct modern conceptual electronic systems with emerging physics, is often much influenced by the interplay between the host two-dimensional electron gases and the substrate, sometimes predicted…

The equilibration between quantum Hall edge modes is known to depend on the disorder potential and the steepness of the edge. Modern samples with higher mobilities and setups with lower electron temperatures call for a further exploration…

Mesoscale and Nanoscale Physics · Physics 2022-02-08 G. Nicoli , C. Adam , M. P. Röösli , P. Märki , J. Scharnetzky , C. Reichl , W. Wegscheider , T. Ihn , K. Ensslin

We propose a topological understanding of the quantum spin Hall state without considering any symmetries, and it follows from the gauge invariance that either the energy gap or the spin spectrum gap needs to close on the system edges, the…

Mesoscale and Nanoscale Physics · Physics 2012-07-09 Huichao Li , L. Sheng , D. Y. Xing

Tunneling from a two-dimensional contact into quantum-Hall edges is considered theoretically for a case where the barrier is extended, uniform, and parallel to the edge. In contrast to previously realized tunneling geometries, details of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. Zuelicke , E. Shimshoni , M. Governale

The scaling physics of quantum Hall transport in optimized topological insulators with a plateau precision of ~1/1000 e2/h is considered. Two exponential scaling regimes are observed in temperature-dependent transport dissipation, one of…

We report magnetotransport measurements in a HgTe quantum well with an inverted band structure, which is expected to be a two-dimensional (2D) topological insulator. A small magnetic field perpendicular the 2D layer breaks the time reversal…

Mesoscale and Nanoscale Physics · Physics 2013-02-28 G. M. Gusev , E. B Olshanetsky , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky

Topological insulators (TIs) are a novel class of materials with nontrivial surface or edge states. Time-reversal symmetry (TRS) protected TIs are characterized by the Z2 topological invariant and their helical property becomes lost in an…

Mesoscale and Nanoscale Physics · Physics 2015-03-10 Lingjie Du , Ivan Knez , Gerard Sullivan , Rui-Rui Du

In a two-subband GaAs/AlGaAs two-dimensional electron system, the phase diagram of longitudinal resistivity \rho_xx in density and magnetic field plane exhibits an intriguing structure centered at filling factor \nu = 4 which is strikingly…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 X. C. Zhang , I. Martin , H. W. Jiang

We investigate the emergence of anti-ferromagnetic ordering and its effect on the helical edge states in a quantum spin Hall insulator, in the presence of strong Coulomb interaction. Using dynamical mean-field theory, we show that the…

Strongly Correlated Electrons · Physics 2018-08-01 A. Amaricci , A. Valli , G. Sangiovanni , B. Trauzettel , M. Capone

Band-inverted electron-hole bilayers support quantum spin Hall insulator and exciton condensate phases. We investigate such a bilayer in an external magnetic field. We show that the interlayer correlations lead to formation of a helical…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 D. I. Pikulin , P. G. Silvestrov , T. Hyart

A two-layer system coupled via tunneling and with different carrier masses in each layer is investigated in the integer quantum Hall regime. Striking deviations of the one-layer Hall conductivity from the usual quantization are found, if…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. L. Chudnovskiy , S. E. Ulloa

The anomalous Hall effect due to the surface conduction band of 3D topological insulators with an out-of-plane magnetization is \textit{always} dominated by an intrinsic topological term of the order of the conductivity quantum. We…

Mesoscale and Nanoscale Physics · Physics 2011-06-30 Dimitrie Culcer , S. Das Sarma

We study transport properties of the helical edge channels of a quantum spin Hall (QSH) insulator, in the presence of electron-electron interactions and weak, local Rashba spin-orbit coupling. The combination of the two allows for inelastic…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Florian Geissler , François Crépin , Björn Trauzettel

In magnetic topological insulators, a phase transition between a quantum anomalous Hall (QAH) and an Anderson localization phase can be triggered by the rotation of an applied magnetic field. Without the scattering paths along magnetic…

Mesoscale and Nanoscale Physics · Physics 2026-01-05 Kristof Moors , Gen Yin

We report Kondo-like behaviour in a quantum antidot (a submicron depleted region in a two-dimensional electron gas) in the quantum-Hall regime. When both spin branches of the lowest Landau level encircle the antidot in a magnetic field…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Kataoka , C. J. B. Ford , M. Y. Simmons , D. A. Ritchie

We investigate edge reconstruction scenarios in the $\nu = 1$ quantum Hall state, focusing on configurations with upstream and downstream charge and neutral modes. Our analysis shows that the coexistence of upstream charge and neutral modes…

Mesoscale and Nanoscale Physics · Physics 2026-04-08 Sampurna Karmakar , Amulya Ratnakar , Sourin Das

Recently, the quantum spin Hall effect has been predicted in (111)-oriented thin films of SnSe and SnTe topological crystalline insulators. It was shown that in these films the energy gaps in the two-dimensional band spectrum depend in an…

Materials Science · Physics 2016-07-20 Shiva Safaei , Marta Galicka , Perla Kacman , Ryszard Buczko

Two-dimensional (2D) topological electronic insulators are known to give rise to gapless edge modes, which underlie low energy dynamics, including electrical and thermal transport. This has been thoroughly investigated in the context of…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Udit Khanna , Yuval Gefen , Ora Entin-Wohlman , Amnon Aharony

We study the edge spin current and spin polarization in a two-dimensional electron gas with spin-orbit coupling in the presence of a perpendicular magnetic field. The edge effect removes the degeneracy of Landau levels due to the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yun-Juan Bao , Huai-Bing Zhuang , Shun-Qing Shen , Fu-Chun Zhang

Nontrivial band topology along with magnetism leads to different novel quantum phases. When time-reversal-symmetry is broken in three-dimensional topological insulators (TIs) by applying high enough magnetic field or proximity effect,…

Mesoscale and Nanoscale Physics · Physics 2023-09-11 Nezhat Pournaghavi , Banasree Sadhukhan , Anna Delin