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We elaborate on a single-mode description of the ballistic charge transport through a narrow constriction in a compressible (composite fermion) Quantum Hall liquid. In the presence of long-range Coulomb interactions we find logarithmic…

Condensed Matter · Physics 2007-05-23 D. V. Khveshchenko

We have pointed out the possibility of quantum Hall effect or quantum patterns of transportation in a degenerate strongly magnetized quark matter, which might be expected inside a highly dense compact star. An anisotropic pattern of…

High Energy Physics - Phenomenology · Physics 2021-03-30 Jayanta Dey , Aritra Bandyopadhyay , Akash Gupta , Naman Pujari , Sabyasachi Ghosh

A quantum Hall edge state provides a rich foundation to study electrons in 1-dimension (1d) but is limited to chiral propagation along a single direction. Here, we demonstrate a versatile platform to realize new 1d systems made by combining…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 J. D. Sanchez-Yamagishi , J. Y. Luo , A. F. Young , B. Hunt , K. Watanabe , T. Taniguchi , R. C. Ashoori , P. Jarillo-Herrero

Conventional topological classification theory dictates that time-reversal symmetry confines the quantum spin Hall (QSH) effect to a $\mathbb{Z}_2$ classification, permitting only a single pair of gapless helical edge states. Here, we…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Zhiyu Chen , Fangyang Zhan , Zheng Qin , Da-Shuai Ma , Dong-Hui Xu , Rui Wang

A quantum anomalous Hall (QAH) insulator is characterized by quantized Hall and vanishing longitudinal resistances at zero magnetic field that are protected against local perturbations and independent of sample details. This insensitivity…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 G. M. Ferguson , Run Xiao , Anthony R. Richardella , David Low , Nitin Samarth , Katja C. Nowack

The quantum Hall effect is a remarkable manifestation of quantized transport in a two-dimensional electron gas. Given its technological relevance, it is important to understand its development in realistic nanoscale devices. In this work we…

Mesoscale and Nanoscale Physics · Physics 2013-01-08 I. J. Vera-Marun , P. J. Zomer , A. Veligura , M. H. D. Guimarães , L. Visser , N. Tombros , H. J. van Elferen , U. Zeitler , B. J. van Wees

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

We describe magnetotransport experiments performed on Hall crosses made from quantum wires at LaAlO3/SrTiO3 interfaces. Shubnikov-de Haas oscillations measured in a 14-nm wide structure exhibit modulations that are consistent with…

Mesoscale and Nanoscale Physics · Physics 2011-03-17 Cheng Cen , Daniela F. Bogorin , Vanita Srinivasa , Jeremy Levy

Critical properties of quantum Hall systems are affected by the presence of extra edge channels - present, in particular, at higher plateau transitions. We study this phenomenon for the case of the spin quantum Hall transition. Using…

Mesoscale and Nanoscale Physics · Physics 2012-03-21 Roberto Bondesan , Ilya A. Gruzberg , Jesper Lykke Jacobsen , Hideaki Obuse , Hubert Saleur

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

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 demonstrate a programmable quantum Hall circuit that implements a novel iterative voltage bisection scheme and allows obtaining any binary fraction $(k/2^n)$ of the fundamental resistance quantum $R_K/2=h/2e^2$. The circuit requires a…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Zahra Sadre Momtaz , Stefan Heun , Giorgio Biasiol , Stefano Roddaro

We exploit the analogy with the quantum Hall (QH) effect for electrons to study the possible atomic QH states of a rapidly-rotating Bose-Einstein condensate. Actually, there is a nearly perfect map of the present problem in the QH regime to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Zeng-Bing Chen , Bo Zhao , Yong-De Zhang

Reentrant integer quantum Hall (RIQH) states are believed to be correlated electron solid phases, though their microscopic description remains unclear. As bias current increases, longitudinal and Hall resistivities measured for these states…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Alexander V. Rossokhaty , Yuval Baum , Joshua A. Folk , John D. Watson , Geoffrey C. Gardner , Michael J. Manfra

We examine the effects of electron-electron interactions on transport between edge states in a multilayer integer quantum Hall system. The edge states of such a system, coupled by interlayer tunneling, form a two-dimensional, chiral metal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

We study the tunneling current between two counterpropagating edge modes described by chiral Luttinger liquids when the tunneling takes place along an extended region. We compute this current perturbatively by using a tunnel Hamiltonian.…

Other Condensed Matter · Physics 2009-11-11 M. Aranzana , N. Regnault , Th. Jolicoeur

We would like to point out that: (i) according to the edge-bulk transport models for the quantum Hall regime, the direction of low bulk conductance is actually perpendicular to that expected naively; and (ii) the values of experimental…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. J. Goldman

We study the plateaux of the integer quantum Hall resistance in a bilayer electron system in tilted magnetic fields. In a narrow range of tilt angles and at certain magnetic fields, the plateau level deviates appreciably from the quantized…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. V. Deviatov , A. A. Shashkin , V. T. Dolgopolov , H. -J. Kutschera , A. Wixforth , K. L. Campman , A. C. Gossard

Experimental results for sequential transport through a lateral quantum dot in the regime of spin blockade induced by spin dependent tunneling are compared with theoretical results obtained by solving a master equation for independent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. C. Rogge , F. Cavaliere , M. Sassetti , R. J. Haug , B. Kramer

Even at the lowest accessible temperatures, measurements of the quantum anomalous Hall (QAH) effect have indicated the presence of parasitic dissipative conduction channels. There is no consensus whether parasitic conduction is related to…

Mesoscale and Nanoscale Physics · Physics 2021-08-26 Linsey K. Rodenbach , Ilan T. Rosen , Eli J. Fox , Peng Zhang , Lei Pan , Kang L. Wang , Marc A. Kastner , David Goldhaber-Gordon
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