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The anomalous Hall effect in type-II conventional and high-Tc superconductors is investigated based on the proposed novel theory of the thermally activated motion of vortex bundles over a directional-dependent energy barrier. Our…

Superconductivity · Physics 2007-05-23 Wei Yeu Chen , Ming Ju Chou

The nonlinear Hall effect is a new type of Hall effect that has recently attracted significant attention. For the physical origin of the nonlinear Hall effect, while orbital magnetization has long been hypothesized to underpin the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 Zesheng Zhang , Xin-Zhi Li , Wen-Yu He

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

The equations of motion for a fully ionized hydrogenic plasma in applied coaxial electric and magnetic fields are analyzed, where the term for the Hall effect in the generalized Ohm's law equation picks up a factor of 1/2 relative to its…

Plasma Physics · Physics 2009-02-26 Robert W. Johnson

Analogous to Peierls' arguments for the `anomalous' Hall in metals I demonstrate that the Hall anomaly in the mixed state of superconductors, the sign change of the Hall resistivity, is a property of a vortex many-body correlation, and show…

Condensed Matter · Physics 2008-02-03 P. Ao

Relativistic heavy ion collisions represent an arena for the probe of various anomalous transport effects. Those effects, in turn, reveal the correspondence between the solid state physics and the high energy physics, which share the common…

High Energy Physics - Phenomenology · Physics 2021-04-30 M. A. Zubkov , Z. V. Khaidukov , R. A. Abramchuk

We studied the effect of strong electric current on spin waves interacting relativistically with the current. The spin-wave spectrum is calculated at arbitrary direction of the wave vector. It is shown that the alternating Hall current…

Materials Science · Physics 2009-11-13 I. Ya. Korenblit

Using mapping between topological defects in an easy-plane magnet and electrical charges, we study interplay between vorticity and spin currents. We demonstrate that the flow of vorticity is accompanied by the transverse spin current…

Mesoscale and Nanoscale Physics · Physics 2022-12-16 Edward Schwartz , Hamed Vakili , Moaz Ali , Alexey A. Kovalev

Quantum anomalies give rise to novel transport phenomena, including the generation of a current in a relativistic fluid due to the presence of magnetic field or vorticity. We present an exclusive and direct computation of the chiral anomaly…

High Energy Physics - Theory · Physics 2025-07-04 Rémy Larue , Jérémie Quevillon , Diego Saviot

We consider an electron with an anomalous magnetic moment, g>2, confined to a plane and interacting with a nonhomogeneous magnetic field B, and investigate the corresponding Pauli Hamiltonian. We prove a lower bound on the number of bound…

Mathematical Physics · Physics 2007-05-23 F. Bentosela , P. Exner , V. A. Zagrebnov

In a two-dimensional electron gas, the quantized Hall conductance can be induced by a strong magnetic field, known as the quantum Hall effect, and it can also result from the strong exchange coupling of magnetic ions, dubbed as the "quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Xin Liu , Hsiu-Chuan Hsu , Chao-Xing Liu

The optical Faraday effect describes the rotation of linear polarization upon propagation through a medium in the presence of a longitudinal magnetic field. The effect arises from a different phase delay between the right and left handed…

Quantum Physics · Physics 2012-11-09 Colin Greenshields , Robert L. Stamps , Sonja Franke-Arnold

Despite being known for a long time the anomalous Hall effect still attracts attention because of its complex origins, its connection to topology and because it serves as a useful probe of the magnetic order. Here we study the anomalous…

Materials Science · Physics 2022-05-31 Jakub Železný , Yuta Yahagi , Carlés-Gomez Ollivella , Yang Zhang , Yan Sun

Hall instability in electron magnetohydrodynamics is interpreted as the shear-Hall instability driven jointly by helicoidal oscillations and shear in the electron current velocity. This explanation suggests an antiparallel orientation of…

Plasma Physics · Physics 2021-07-21 Leonid Kitchatinov

We report non-local electrical measurements in a mesoscopic size two-dimensional (2D) electron gas in a GaAs quantum well in a hydrodynamic regime. Viscous electric flow is expected to be dominant when electron-electron collisions occur…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 A. D. Levin , G. M. Gusev , E. V. Levinson , Z. D. Kvon , A. K. Bakarov

A motion of neutral and charged particles located nearby a metal surface under joint action of time-periodic electric field E(t) directed normally to the surface and permanent magnetic field H directed along the surface has been considered.…

Materials Science · Physics 2009-11-07 A. A. Ovchinnikov

We consider the ground state of an electron gas embedded in a quantum gyrotropic cavity. We show that the light-matter interaction leads to a nontrivial topology of the many-body electron-photon wave function characterized by a nonzero…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Ilya Tokatly , Dmitry Gulevich , Ivan Iorsh

The anomalous Hall effect, a hallmark of broken time-reversal symmetry and spin-orbit coupling, is frequently observed in magnetically polarized systems. Its realization in non-magnetic systems, however, remains elusive. Here, we report on…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Athby H. Al-Tawhid , Jesse Kanter , Mehdi Hatefipour , Douglas L. Irving , Divine P. Kumah , Javad Shabani , Kaveh Ahadi

The spin Hall effect is a phenomenon that an electric field induces a spin Hall current. In this Letter, we examine the inverse effect that, in a ferromagnetic conductor, a charge Hall current is induced by a spin motive force, or a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Junya Shibata , Hiroshi Kohno

Recently it is found that Weyl anomaly leads to new anomalous currents in an external electromagnetic field in the curved spacetime. For simplicity, the initial works mainly focus on weak gravitational fields and the anomalous current is…

High Energy Physics - Theory · Physics 2019-08-20 Jiang-Jin Zheng , Dongqi Li , Yu-Qian Zeng , Rong-Xin Miao