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The problem of diamagnetism, solved by Landau, continues to pose fascinating issues which have relevance even today. These issues relate to inherent quantum nature of the problem, the role of boundary and dissipation, the meaning of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Dattagupta , A. M. Jayannavar , N. Kumar

The kinetic description of magnetic susceptibility and Landau diamagnetism of quantum collisional plasmas with any degeration of electronic gas is given. The correct expression of electric conductivity of quantum collisional plasmas with…

Plasma Physics · Physics 2013-06-11 A. V. Latyshev , A. A. Yushkanov

We study the quantum Hall effect inside a gravitational field. First, we review the influence of the gravitational field of the Earth on the quantum Hall effect. Taking the gravitational field of the Earth to be uniform along the vertical…

General Relativity and Quantum Cosmology · Physics 2020-07-02 F. Hammad , A. Landry , K. Mathieu

The localization behavior of noninteracting two-dimensional electrons in a random potential and strong magnetic field is of fundamental interest for the physics of the quantum Hall effect. In order to understand the emergence of power-law…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Joel E. Moore , A. Zee , Jairo Sinova

Quantum Hall (QH) states are predicted to display an intriguing non-dissipative stress response to a shear deformation rate, a phenomenon variously known as asymmetric or Hall viscosity, or Lorentz shear response. Just as the QH effect…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 Rudro R. Biswas

Within the framework of the hypothesis offered by authors about complex-valued nature of physical quantities, the effect of the Landau damping has been explored with assumption that not only frequency can be a small imaginary component but…

Plasma Physics · Physics 2007-05-23 V. V. Lyahov , V. M. Neshchadim

We investigate anomalous planar transport phenomena in a recently identified class of collinear magnetic materials known as $d$-wave altermagnets. The anomalous planar effects manifest in a configuration when the applied electric…

Mesoscale and Nanoscale Physics · Physics 2025-12-03 Srimayi Korrapati , Snehasish Nandy , Sumanta Tewari

We study the thermodynamic properties of the two-component $2+1$-dimensional massive Dirac fermions in an external magnetic field. The broken time-reversal symmetry results in the presence of a linear in the magnetic field part of the…

Mesoscale and Nanoscale Physics · Physics 2015-08-24 S. G. Sharapov

Quantum spin-Hall edges are envisaged as next-generation transistors, yet they exhibit dissipationless transport only over short distances. Here we show that in a diffusive sample, where charge puddles with odd spin cause back-scattering, a…

Mesoscale and Nanoscale Physics · Physics 2021-08-24 Zhanning Wang , Pankaj Bhalla , Mark Edmonds , Michael S. Fuhrer , Dimitrie Culcer

A theory of recently discovered anomalous low-field magnetoresistance is developed for the system of two-dimensional electrons scattered by hard disks of radius $a,$ randomly distributed with concentration $n.$ For small magnetic fields the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Vadim V. Cheianov , A. P. Dmitriev , V. Yu. Kachorovskii

The unexpected "0.7" plateau of conductance quantisation is usually observed for ballistic one-dimensional devices. In this work we study a quasi-ballistic quantum wire, for which the disorder induced backscattering reduces the conductance…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 M. Czapkiewicz , P. Zagrajek , J. Wrobel , G. Grabecki , K. Fronc , T. Dietl , Y. Ono , S. Matsuzaka , H. Ohno

The quantum anomalous Hall effect refers to the quantization of Hall effect in the absence of applied magnetic field. The quantum anomalous Hall effect is of topological nature and well suited for field-free resistance metrology and…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Hang Chi , Jagadeesh S. Moodera

We consider a test particle moving in a random distribution of obstacles in the plane, under the action of a uniform magnetic field, orthogonal to the plane. We show that, in a weak coupling limit, the particle distribution behaves…

Mathematical Physics · Physics 2016-08-30 Matteo Marcozzi , Alessia Nota

In the paper a new class of exact localized solutions of Dirac's equation in the field of a circularly polarized electromagnetic wave and a constant magnetic field is presented. These solutions possess unusual properties and are applicable…

Mathematical Physics · Physics 2011-09-30 Boris V. Gisin

In this paper we propose that, quantized and nearly half-quantized intrinsic anomalous Hall effect can be induced by in-plane external magnetic field through the Zeeman coupling in non-magnetic 2D systems with sizeable spin-orbital coupling…

Mesoscale and Nanoscale Physics · Physics 2022-12-28 Song Sun , Hongming Weng , Xi Dai

This article reviews the main contributions to the anomalous Hall effect and its resurgence in the past three decades, which has been accompanied by the rise of topological phenomena and topological materials. I will show that the anomalous…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Dimitrie Culcer

Recent successes in manufacturing of atomically thin graphite samples (graphene) have stimulated intense experimental and theoretical activity. The key feature of graphene is the massless Dirac type of low-energy electron excitations. This…

Mesoscale and Nanoscale Physics · Physics 2008-05-23 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

Recent experiments on Coulomb drag in the quantum Hall regime have yielded a number of surprises. The most striking observations are that the Coulomb drag can become negative in high Landau levels and that its temperature dependence is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. V. Gornyi , A. D. Mirlin , F. von Oppen

We study the anomalous thermoelectric Hall response of two-dimensional massive Dirac fermions to first order in the electron-electron interaction. We compute both the Nernst response to a Luttinger-type gravitational potential and the…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 A. Daria Dumitriu-I. , Feng Liu , Alexander E. Kazantsev , Alessandro Principi

Ions, protons and possibly a small flux of electrons and positrons are accelerated outward from the polar cap of a normal or millisecond pulsar whose rotational spin is antiparallel with its magnetic moment. The Langmuir modes of this…

High Energy Astrophysical Phenomena · Physics 2015-06-22 P. B. Jones