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In the electron dynamics in quantum matter, the Berry curvature of the electronic wave function provides the artificial magnetic field (AMF) in momentum space, which leads to non-trivial contributions to transport coefficients. It is known…

Strongly Correlated Electrons · Physics 2021-04-07 Omid Tavakol , Yong Baek Kim

Anomalous hydrodynamics is a low-energy effective theory that captures effects of quantum anomalies. We develop a numerical code of anomalous hydrodynamics and apply it to dynamics of heavy-ion collisions, where anomalous transports are…

Nuclear Theory · Physics 2018-02-01 Masaru Hongo , Yuji Hirono , Tetsufumi Hirano

We have proposed a unified framework towards the dynamics of optical and electron vortex beams from the perspective of geometric phase and the associated Hall effects. The unification is attributed to the notion that the spin degrees of…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 Pratul Bandyopadhyay , Banasri Basu , Debashree Chowdhury

A theory of the weak field Hall effect of Bloch electrons based on the analysis of the forces acting on electrons is presented. It is argued that the electric current is composed of two contributions, that driven by the electric field along…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Pavel Streda , Thibaut Jonckheere

It has been suggested that a temperature gradient will induce a Leduc-Righi, or thermal Hall, current in the Majorana quasiparticles localized on the surface of class DIII topological insulators, and that the magnitude of this current can…

Mesoscale and Nanoscale Physics · Physics 2013-08-22 Michael Stone

The equations of anomalous magnetohydrodynamics describe an Abelian plasma where conduction and chiral currents are simultaneously present and constrained by the second law of thermodynamics. At high frequencies the magnetic currents play…

High Energy Physics - Theory · Physics 2016-05-25 Massimo Giovannini

We apply the geometric theory of swimming at low Reynolds number to the study of nearly circular swimmers in two-dimensional fluids with non-vanishing Hall, or "odd", viscosity. The Hall viscosity gives an off-diagonal contribution to the…

Soft Condensed Matter · Physics 2014-05-07 Matthew F. Lapa , Taylor L. Hughes

We use linear response theory to study the transverse force generated by an external electric field and hence possible charge Hall effect in spin-orbit coupled systems. In addition to the Lorentz force that is parallel to the electric…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Tsung-Wei Chen , Hsiu-Chuan Hsu , Guang-Yu Guo

The anomalous Hall effect has had a profound influence on the understanding of many electronic topological materials but is much less studied in their bosonic counterparts. We predict that an intrinsic anomalous Hall effect exists in a…

Quantum Gases · Physics 2022-10-31 Guan-Hua Huang , Zhi-Fang Xu , Zhigang Wu

We develop the theory of hydrodynamic electron transport in a long-range disorder potential for conductors in which the underlying electron liquid lacks Galilean invariance. For weak disorder, we express the transport coefficients of the…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Songci Li , Alex Levchenko , A. V. Andreev

While altermagnetic materials are characterized by a vanishing net magnetic moment, their symmetry in principle allows for the existence of an anomalous Hall effect (AHE). Here we introduce a model with altermagnetism in which the emergence…

Strongly Correlated Electrons · Physics 2024-09-05 Toshihiro Sato , Sonia Haddad , Ion Cosma Fulga , Fakher F. Assaad , Jeroen van den Brink

A model calculation is presented to characterize the anomalous cross-field transport of electrons in a Hall thruster geometry. The anomalous nature of the transport is attributed to the chaotic dynamics of the electrons arising from their…

Plasma Physics · Physics 2020-03-18 D. Mandal , Y. Elskens , N. Lemoine , F. Doveil

Here, we demonstrate that vacuum fluctuations can induce lateral forces on a small particle positioned near a translation-invariant uniform non-Hermitian substrate with chiral gain. This type of non-Hermitian response can be engineered by…

Mesoscale and Nanoscale Physics · Physics 2026-01-19 Daigo Oue , Mário G. Silveirinha

In this paper, we report results on the anomalous Hall effect. First, we summarize analytical calculations based on the Kubo formalism : explicit expressions for both skew-scattering and side-jump are derived and weak-localization…

Condensed Matter · Physics 2009-11-07 A. Crépieux , J. Wunderlich , V. K. Dugaev , P. Bruno

A simple physical insight into the origin of the magnetic moment anomaly of electron is presented. This approach is based on the assumption that the electromagnetic mass of the electron due to the electric field generated by electron charge…

General Physics · Physics 2013-07-09 N. B. Mandache

It has been shown that in metals and semiconductors the joint action of permanent magnetic and AC electric fields leads to arising of DC surface electric current. This is due to essentially non-linear dynamics of electronic gas in surface…

Strongly Correlated Electrons · Physics 2007-05-23 A. A. Ovchinnikov

We consider the hydrodynamic flow of an electron fluid in a channel formed in a two-dimensional electron gas (2DEG) with no-slip boundary conditions. To generate vorticity in the fluid the flow is influenced by an array of micromagnets on…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Jack N. Engdahl , Aydın Cem Keser , Thomas Schmidt , Oleg P. Sushkov

A new type of linear response Hall effect is predicted in time-reversal-invariant systems with built-in electric field at zero magnetic field. The Hall response results from a quantum Magnus effect where a self-rotating Bloch electron…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Michał Papaj , Liang Fu

We show that the Weyl (trace) anomaly gives rise to a new non-dissipative vector current in accelerated relativistic fluids. The anomaly uniquely fixes the second-order transport coefficient governing the coupling between the…

High Energy Physics - Theory · Physics 2026-04-28 Shi-Zheng Yang , Jian-Hua Gao , Zuo-Tang Liang , Georgy Yu. Prokhorov , Shi Pu , Oleg V. Teryaev , Valentin I. Zakharov

Viscous flow of interacting electrons in two dimensional materials features a bunch of exotic effects. A model resembling the Navier-Stokes equation for classical fluids accounts for them in the so called hydrodynamic regime. We performed a…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Jorge Estrada-Álvarez , Francisco Domínguez-Adame , Elena Díaz