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The nature of a metal--insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions at integer bulk filling, as reported in recent experiments of Roddaro et al. [1], is addressed. We are particularly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Emiliano Papa , Tilo Stroh

Quantum spin Hall insulators (QSHIs) and excitonic insulators (EIs) are prototypical topological and correlated states of matter, respectively. The topological phase transition between the two has attracted much theoretical interest but…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 Zhongdong Han , Yiyu Xia , Kenji Watanabe , Takashi Taniguchi , Kin Fai Mak , Jie Shan

The quantum anomalous Hall (QAH) effect has been demonstrated in two-dimensional topological insulator systems incorporated with ferromagnetism. However, a comprehensive understanding of mesoscopic transport in sub-micron QAH devices has…

Mesoscale and Nanoscale Physics · Physics 2022-06-08 Gang Qiu , Peng Zhang , Peng Deng , Su Kong Chong , Lixuan Tai , Christopher Eckberg , Kang L. Wang

While the helical character of the edge channels responsible for charge transport in the quantum spin Hall regime of a two-dimensional topological insulator is by now well established, an experimental confirmation that the transport in the…

We address the problem of magnetic-field-induced corner states in quantum spin Hall insulators (QSHIs) beyond the particle-hole-symmetric limit. Starting from a realistic low-energy model for zinc-blende semiconductor quantum wells (QWs),…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Sergey S. Krishtopenko , Frédéric Teppe

The quantum Hall regime in a smooth random potential is considered when two disorder-broadened Zeeman levels overlap strongly. Spin-orbit coupling is found to cause a drastic change in the percolation network which leads to a strong…

Condensed Matter · Physics 2016-08-31 D. G. Polyakov , M. E. Raikh

We analyze a quantum spin Hall (QSH) device with a point contact connecting two of its edges. The contact supports a net spin tunneling current that can be probed experimentally via a two-terminal resistance measurement. We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Anders Ström , Henrik Johannesson

Using the non-equilibrium Green\noindent 's function method and the Keldysh formalism, we study the effects of spin-orbit interactions and time-reversal symmetry breaking exchange fields on non-equilibrium quantum transport in graphene…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 Nezhat Pournaghavi , Cecilia Holmqvist , Anna Pertsova , Carlo Canali

The longitudinal resistivity at transitions between integer quantum Hall states in two-dimensional electrons confined to AlAs quantum wells is found to depend on the spin orientation of the partially-filled Landau level in which the Fermi…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 K. Vakili , Y. P. Shkolnikov , E. Tutuc , N. C. Bishop , E. P. De Poortere , M. Shayegan

Spin waves are collective excitations of magnetic systems. An attractive setting for studying long-lived spin-wave physics is the quantum Hall (QH) ferromagnet, which forms spontaneously in clean two-dimensional electron systems at low…

Mesoscale and Nanoscale Physics · Physics 2018-11-06 Di. S. Wei , Toeno van der Sar , Seung Hwan Lee , Kenji Watanabe , Takashi Taniguchi , Bertrand I. Halperin , Amir Yacoby

Unconventional fermions with high degeneracies in three dimensions beyond Weyl and Dirac fermions have sparked tremendous interest in condensed matter physics. Here, we study quantum Hall effects (QHEs) in a two-dimensional (2D)…

Strongly Correlated Electrons · Physics 2017-10-11 Yong Xu , L. -M. Duan

Quantum spin Hall (QSH) state of matter has a charge excitation bulk bandgap and a pair of gapless spin-filtered edge-states, which can support backscattering-free transport. Bilayer phosphorene possesses a large tunable bandgap and high…

Materials Science · Physics 2015-02-09 Tian Zhang , Jia-He Lin , Yan-Mei Yu , Xiang-Rong Chen , Wu-Ming Liu

We present a topological description of quantum spin Hall effect (QSHE) in a two-dimensional electron system on honeycomb lattice with both intrinsic and Rashba spin-orbit couplings. We show that the topology of the band insulator can be…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , Z. Y. Weng , L. Sheng , F. D. M. Haldane

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

The quantum Hall (QH) effect, a topologically non-trivial quantum phase, expanded and brought into focus the concept of topological order in physics. The topologically protected quantum Hall edge states are of crucial importance to the QH…

Recently the Quantum Spin Hall effect (QSH) was theoretically predicted and experimentally realized in a quantum wells based on binary semiconductor HgTe[1-3]. QSH state and topological insulators are the new states of quantum matter…

Materials Science · Physics 2013-08-08 S. Chadov , X. -L. Qi , J Kübler , G. H. Fecher , C. Felser , S. -C. Zhang

Quantum spin Hall (QSH) insulators exhibit spin-polarized conducting edge states that are topologically protected from backscattering and offer unique opportunities for addressing fundamental science questions and device applications.…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Rajibul Islam , Rahul Verma , Barun Ghosh , Zahir Muhammad , Arun Bansil , Carmine Autieri , Bahadur Singh

A two-dimensional (2D) topological insulator (TI) exhibits the quantum spin Hall (QSH) effect, in which topologically protected spin-polarized conducting channels exist at the sample edges. Experimental signatures of the QSH effect have…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Yanmeng Shi , Joshua Kahn , Ben Niu , Zaiyao Fei , Bosong Sun , Xinghan Cai , Brian A. Francisco , Di Wu , Zhi-Xun Shen , Xiaodong Xu , David H. Cobden , Yong-Tao Cui

We demonstrate the emergence of the quantum Hall (QH) hierarchy in a 2D model of coupled quantum wires in a perpendicular magnetic field. At commensurate values of the magnetic field, the system can develop instabilities to appropriate…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. L. Kane , Ranjan Mukhopadhyay , T. C. Lubensky

We report magneto-transport measurements in wide GaAs quantum wells with tunable density to probe the stability of the fractional quantum Hall effect at filling factor $\nu = $ 5/2 in the vicinity of the crossing between Landau levels (LLs)…

Mesoscale and Nanoscale Physics · Physics 2012-03-06 Yang Liu , D. Kamburov , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin
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