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We investigate the longitudinal conductance of a disordered three-dimensional (3D) quantum Hall system within a tight-binding lattice model using numerical Thouless conductance calculations. For the bulk, we confirm that the mobility edges…

Disordered Systems and Neural Networks · Physics 2020-08-18 Chao Zheng , Kun Yang , Xin Wan

Sharp localization transitions of chiral edge states in disordered quantum wires, subject to strong magnetic field, are shown to be driven by crossovers from two- to one-dimensional localization of bulk states. As a result, the two-terminal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Kettemann , B. Kramer , T. Ohtsuki

The quantum Hall effect in the three-dimensional anisotropic tight-binding electrons is investigated in the field-induced spin density wave phases with a magnetic field tilted to any direction. The Hall conductivity, $\sigma_{xy}$ and…

Condensed Matter · Physics 2009-10-22 Yasumasa Hasegawa

In this work, we study the disorder effect on topological metals that support a pair of helical edge modes deeply embedded inside the gapless bulk states. Strikingly, we predict that a quantum spin Hall (QSH) phase can be obtained from such…

Mesoscale and Nanoscale Physics · Physics 2020-05-14 Chui-Zhen Chen , Hua Jiang , Dong-Hui Xu , X. C. Xie

Exotic quantum Hall systems hosting counter-propagating edge states can show seemingly non-universal transport regimes, usually depending on the size of the sample. We experimentally probe transport in a quantum Hall sample engineered to…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Aifei Zhang , Kenji Watanabe , Takashi Taniguchi , Patrice Roche , Carles Altimiras , François D. Parmentier , Olivier Maillet

The scalar spin chirality, which characterizes the fundamental unit of noncoplanar spin structures, plays an important role in rich chiral physics of magnetic materials. In particular, the intensive research efforts over the past two…

Mesoscale and Nanoscale Physics · Physics 2024-11-07 Gyungchoon Go , Durga Prasad Goli , Nanse Esaki , Yaroslav Tserkovnyak , Se Kwon Kim

The quantum anomalous Hall (QAH) state is a two-dimensional bulk insulator with a non-zero Chern number in absence of external magnetic fields. Protected gapless chiral edge states enable dissipationless current transport in electronic…

Mesoscale and Nanoscale Physics · Physics 2011-08-25 Hai-Jun Zhang , Xiao Zhang , Shou-Cheng Zhang

We report results of numerical studies of the integer quantum Hall effect in a tight binding model on a two-dimensional square lattice with non-interacting electrons, in the presence of a random potential as well as a uniform magnetic field…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kun Yang , R. N. Bhatt

Double layer quantum Hall systems have interesting properties associated with interlayer correlations. At $\nu =1/m$ where $m$ is an odd integer they exhibit spontaneous symmetry breaking equivalent to that of spin $1/2$ easy-plane…

Condensed Matter · Physics 2009-10-22 Kun Yang , K. Moon , L. Zheng , A. H. MacDonald , S. M. Girvin , D. Yoshioka , Shou-Cheng Zhang

We discuss the orbital effect of a tilted magnetic field on the quantum Hall effect in parabolic quantum wells. Many-body states realized at the fractional 1/3 and 1/2 filling of the second electronic subband are studied using finite-size…

Mesoscale and Nanoscale Physics · Physics 2013-06-28 Z. Papic

A two-dimensional simulation is conducted to investigate the effect of cross-field electron transport enhancement in the Hall thruster discharge caused by the nonuniform propellant supply in azimuth. The Hall thruster operation with…

Plasma Physics · Physics 2018-05-17 Rei Kawashima , Junhwi Bak , Kimiya Komurasaki , Hiroyuki Koizumi

Transport properties of dense QCD matter is discussed. Using the Kubo formula for conductivity, we discuss some topological aspects of quark matter during chiral transition. The close relation to Weyl semimetal is pointed out and anomalous…

High Energy Physics - Phenomenology · Physics 2020-02-17 Toshitaka Tatsumi , Hiroaki Abuki

Quantum Hall states are characterized by a topological invariant, the many-body Chern number, which determines their quantized Hall conductivity. This invariant also emerges in circular dichroic responses, namely, by applying a circular…

Quantum Gases · Physics 2026-01-01 F. Nur Ünal , A. Nardin , N. Goldman

The quantum phase diagram of disordered wires in a strong magnetic field is studied as a function of wire width and energy. The two-terminal conductance shows zero-temperature discontinuous transitions between exactly integer plateau values…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexander Struck , Bernhard Kramer , Tomi Ohtsuki , Stefan Kettemann

We investigate the 3D quantum Hall effect in Weyl semimetals and elucidate a global picture of the edge states. The edge states hosting 3D quantum Hall effect are combinations of Fermi arcs and chiral bulk Landau levels parallel to the…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Hailong Li , Haiwen Liu , Hua Jiang , X. C. Xie

Graphene enables precise carrier-density control via gating, making it an ideal platform for studying electronic interactions. However, sample inhomogeneities often limit access to the low-density regimes where these interactions dominate.…

A quantum phase transition arises from competition between different ground states and is typically accessed by varying a single physical parameter near absolute zero temperature. The quantum anomalous Hall (QAH) effect with high Chern…

Mesoscale and Nanoscale Physics · Physics 2025-08-27 Ling-Jie Zhou , Deyi Zhuo , Ruobing Mei , Yi-Fan Zhao , Kaijie Yang , Ruoxi Zhang , Zijie Yan , Han Tay , Moses H. W. Chan , Chao-Xing Liu , Cui-Zu Chang

The effects of finite magnetization and electric polarization on dissipative and non-dissipative (anomalous) transport coefficients of a chiral fluid are studied. First, using the second law of thermodynamics as well as Onsager's time…

High Energy Physics - Theory · Physics 2017-04-28 N. Sadooghi , S. M. A. Tabatabaee

We study the phase structure and Hall conductance quantization in weakly coupled multi-layer electron systems in the integer quantum Hall regime. We derive an effective field theory and perform a two-loop renormalization group calculation.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ziqiang Wang

The quantum Hall effect is studied numerically in modulated two-dimensional electron systems in the presence of disorder. Based on the scaling property of the Hall conductivity as well as the localization length, the critical energies where…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Mikito Koshino , Tsuneya Ando
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