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Nonlinear transport phenomena in condensed matter reflect the geometric nature, quantum coherence, and many-body correlation of electronic states. Electric currents in solids are classified into (i) Ohmic current, (ii) supercurrent, and…

Mesoscale and Nanoscale Physics · Physics 2024-11-01 Hiroki Isobe , Naoto Nagaosa

We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. L. Kane , E. J. Mele

Spin Hall effect can be induced both by the extrinsic impurity scattering and by the intrinsic spin-orbit coupling in the electronic structure. The HgTe/CdTe quantum well has a quantum phase transition where the electronic structure changes…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 W. Yang , Kai Chang , S. C. Zhang

High-frequency transport in the edge states of the quantum spin Hall (QSH) effect has to date rarely been explored, though it could cast light on the scattering mechanisms taking place therein. We here report on the measurement of the…

We report the first electrical manipulation and detection of the mesoscopic intrinsic spin-Hall effect (ISHE) in semiconductors through non-local electrical measurement in nano-scale H-shaped structures built on high mobility HgTe/HgCdTe…

Mesoscale and Nanoscale Physics · Physics 2008-12-22 C. Bruene , A. Roth , E. G. Novik , M. Koenig , H. Buhmann , E. M. Hankiewicz , W. Hanke , J. Sinova , L. W. Molenkamp

A set of stacked two-dimensional electron systems in a perpendicular magnetic field exhibits a three-dimensional version of the quantum Hall effect if interlayer tunneling is not too strong. When such a sample is in a quantum Hall plateau,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

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

The current through a helical edge state of a quantum-spin-Hall insulator may be fully transmitted through a magnetically gapped region due to a combination of spin-transfer torque and spin pumping [Meng {\em et al.}, Phys. Rev. B {\bf 90},…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 P. G. Silvestrov , P. Recher , P. W. Brouwer

Trilayer graphene allows systematic control of its electronic structure through stacking sequence and twist geometry, providing a versatile platform for correlated states. Here we report magnetotransport in alternating twisted trilayer…

Mesoscale and Nanoscale Physics · Physics 2026-02-05 Dohun Kim , Gyeoul Lee , Nicolas Leconte , Seyoung Jin , Takashi Taniguchi , Kenji Watanabe , Jeil Jung , Gil Young Cho , Youngwook Kim

The survival of the quantum spin Hall edge channels in presence of an external magnetic field has been a subject of experimental and theoretical research. The inversion of Landau levels that accommodates the quantum spin Hall effect is…

The realization of quantum spin Hall (QSH) effect in HgTe quantum wells (QWs) is considered a milestone in the discovery of topological insulators. The QSH edge states are predicted to allow current to flow at the edges of an insulating…

The quantum spin Hall (QSH) effect is known to be unstable to perturbations violating time-reversal symmetry. We show that creating a narrow ferromagnetic (FM) region near the edge of a QSH sample can push one of the counterpropagating edge…

Mesoscale and Nanoscale Physics · Physics 2013-07-16 Huichao Li , L. Sheng , R. Shen , L. B. Shao , Baigeng Wang , D. N. Sheng , D. Y. Xing

The field of topological insulators (TIs) is rapidly growing. Concerning possible applications, the search for materials with an easily controllable TI phase is a key issue. The quantum spin Hall effect, characterized by a single pair of…

Mesoscale and Nanoscale Physics · Physics 2012-03-21 Paolo Michetti , Jan C. Budich , Elena G. Novik , Patrik Recher

Quantum spin Hall effect is characterized by topologically protected helical edge states. Here we study the thermal dissipation of helical edge states by considering two types of dissipation sources. The results show that the helical edge…

Mesoscale and Nanoscale Physics · Physics 2024-10-31 Jing-Yun Fang , Yu-Chen Zhuang , Ai-Min Guo , Qing-Feng Sun

A theory of transport in the quantum Hall regime is developed for separately contacted double-layer electron systems. Inter-layer tunneling provides a channel for equilibration of the distribution functions in the two layers and influences…

Condensed Matter · Physics 2015-06-25 D. Yoshioka , A. H. MacDonald

Theoretically, the quantum anomalous Hall effect is characterized by a quantized Hall conductance. However, many experiments only reported the quantization of the Hall resistance, which is accompanied by a non-vanishing longitudinal…

Mesoscale and Nanoscale Physics · Physics 2023-07-18 Rui Chen , Hai-Peng Sun , Bin Zhou , Dong-Hui Xu

We consider a model for an edge state of electronic systems in the quantum Hall regime with filling $\nu=1$ and in the quantum spin Hall regime. In both cases the system is in contact with two reservoirs by tunneling at point contacts. Both…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Liliana Arrachea , Eduardo Fradkin

In the presence of a scattering potential, electron transport in a quantum wire is known to be dramatically modified by backward scattering and unaffected by forward scattering processes. We show that the scenario is quite different in…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Fabrizio Dolcini

We report on experiments allowing to set an upper limit on the magnitude of the spin Hall effect and the conductance by edge channels in quantum wells of PbTe embedded between PbEuTe barriers. We reexamine previous data obtained for…

Mesoscale and Nanoscale Physics · Physics 2013-01-24 K. A. Kolwas , G. Grabecki , S. Trushkin , J. Wróbel , M. Aleszkiewicz , Ł. Cywiński , T. Dietl , G. Springholz , G. Bauer

We study numerically the edge magnetoconductance of a quantum spin Hall insulator in the presence of quenched nonmagnetic disorder. For a finite magnetic field B and disorder strength W on the order of the bulk gap E_g, the conductance…

Mesoscale and Nanoscale Physics · Physics 2010-10-08 Joseph Maciejko , Xiao-Liang Qi , Shou-Cheng Zhang