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A two-dimensional quantum Hall system is studied for a wide class of potentials including single-body random potentials and repulsive electron-electron interactions. We assume that there exists a non-zero excitation gap above the ground…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tohru Koma

We show that in the limit of zero temperature, double layer quantum Hall systems exhibit a novel phenomena called Hall drag, namely a current driven in one layer induces a voltage drop in the other layer, in the direction perpendicular to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kun Yang

The thermodynamic potential of an ideal nonrelativistic gas of two-dimensional electrons in crossed uniform magnetic and electric fields is constructed. For low temperatures and very weak electric fields, it is shown that the Hall…

Condensed Matter · Physics 2007-05-23 Choon-Lin Ho , V. R. Khalilov , Chi Yang

The magnetoresistance, Rxx, at even-denominator fractional fillings, of an ultra high quality two-dimensional electron system at T ~ 35 mK is observed to be strictly linear in magnetic field, B. While at 35mK Rxx is dominated by the integer…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. Pan , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

Mn$_{3-x}$Ga (x = 0.1, 0.4, 0.7) thin films on MgO and SrTiO$_3$ substrates were investigated with magnetic anisotropy perpendicular to the film plane. An anomalous Hall-effect was observed for the tetragonal distorted lattice in the…

Materials Science · Physics 2015-06-12 Manuel Glas , Daniel Ebke , Inga-Mareen Imort , Patrick Thomas , Günter Reiss

In addition to the weak antilocalization cusp observed in the magnetoresistance (MR) of topological insulators at low temperatures and low magnetic fields, we find that the high-field MR in Bi2Te2Se is linear in field. At fields up to B=14T…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Badih A. Assaf , Thomas Cardinal , Peng Wei , Ferhat Katmis , Jagadeesh S. Moodera , Don Heiman

Evidence of both fractional and integer quantum hall effects (QHE) in three dimensional bulk replica opal (250nm diameter) structures of non-crystalline carbon are presented. In a remarkably soft quantum limit of ~ 40K temperature and about…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Timir Datta , Michael Bleiweiss , Anca Lungu , Ming Yin , Zafar Iqbal

We show that, for Galilean invariant quantum Hall states, the Hall viscosity appears in the electromagnetic response at finite wave numbers q. In particular, the leading q dependence of the Hall conductivity at small q receives a…

Mesoscale and Nanoscale Physics · Physics 2012-02-27 Carlos Hoyos , Dam Thanh Son

We consider the Hall effect in a system of weakly coupled one-dimensional chains with Luttinger interaction within each chain. We construct a perturbation theory in the inter-chain hopping term and find that there is a power law dependence…

Strongly Correlated Electrons · Physics 2009-10-30 Lopatin , A. V

We report the observation of a quantum anomalous Hall effect in twisted bilayer graphene showing Hall resistance quantized to within .1\% of the von Klitzing constant $h/e^2$ at zero magnetic field.The effect is driven by intrinsic strong…

Strongly Correlated Electrons · Physics 2020-03-18 M. Serlin , C. L. Tschirhart , H. Polshyn , Y. Zhang , J. Zhu , K. Watanabe , T. Taniguchi , L. Balents , A. F. Young

We examine the range of rest-mass densities, temperatures and magnetic fields involved in simulations of binary neutron-star mergers and identify the conditions under which the ideal-magnetohydrodynamics approximation breaks down and hence…

High Energy Astrophysical Phenomena · Physics 2018-11-13 Arus Harutyunyan , Antonios Nathanail , Luciano Rezzolla , Armen Sedrakian

A treatment of frictional Coulomb drag between two 2-dimensional electron layers in a strong perpendicular magnetic field, within the independent electron picture, is presented. Assuming fully resolved Landau levels, the linear response…

Condensed Matter · Physics 2009-10-30 M. C. Bonsager , K. Flensberg , B. Y-K. Hu , A. -P. Jauho

To investigate the Hall resistivity rH of systems with non-trivial spin structures, transport and magnetic properties of the oxygen deficient perovskite system TbBaCo2O5.53 with non-trivial magnetic structures have been adopted. As has been…

Strongly Correlated Electrons · Physics 2009-11-11 Toshiaki Fujita , Minoru Soda , Masatoshi Sato

We show that when bulk graphene breaks into n-type and p-type puddles, the in-plane resistivity becomes strongly field dependent in the presence of a perpendicular magnetic field, even if homoge- neous graphene has a field-independent…

Mesoscale and Nanoscale Physics · Physics 2010-04-02 Rakesh P. Tiwari , D. Stroud

Two-dimensional electron systems with spin-orbit coupling in the proximity of a superconductor and a magnetic insulator have recently been considered as promising candidates to realize topological superconducting phases. Here we discuss…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Teemu Ojanen , Takuya Kitagawa

A conducting cylinder with a uniform magnetic field along its axis and radial temperature gradient is considered at the stationary state. At large temperature gradients the azimuthal Hall electrical current creates the axial magnetic field…

High Energy Astrophysical Phenomena · Physics 2025-12-22 G. S. Bisnovatyi-Kogan , M. V. Glushikhina

The normal-state Hall coefficient R_H and the in-plane resistivity \rho_{ab} are measured in La-doped Bi_{2}Sr_{2}CuO_{y} (T_c \simeq 13 K) single crystals and La_{2-x}Sr_{x}CuO_{4} thin films by suppressing superconductivity with 61-T…

We investigate the stability of the Hall-MHD system and determine its importance for neutron stars at their birth, when they still consist of differentially rotating plasma permeated by extremely strong magnetic fields. We solve the…

Solar and Stellar Astrophysics · Physics 2015-06-04 T. Kondic , G. Ruediger , R. Arlt

We investigate the stability and instability of the magnetic Rayleigh--B\'enard problem with zero resistivity. An stability criterion is established, under which the magnetic B\'enard problem is stable. The proof mainly is based on a…

Analysis of PDEs · Mathematics 2019-03-26 Fei Jiang , Song Jiang

Under the condition of small external forces, we obtain existence of a weak solution of the steady Hall-MHD system with H\"{o}lder continuous magnetic field. We also established regularity of weak solutions provided that magnetic fields are…

Analysis of PDEs · Mathematics 2020-04-16 Yong Zeng , Zhibing Zhang
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