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When the quantum Hall effect occurs in a two-dimensional electron gas, all low-energy elementary excitations are localized near the system edge. The edge acts in many ways like a one-dimensional ring of electrons, except that a finite…

Condensed Matter · Physics 2007-05-23 A. H. MacDonald

The anomalous Hall effect in time-reversal symmetry broken systems is underpinned by the concept of Berry curvature in band theory. However, recent experiments reveal that the nonlinear Hall effect can be observed in non-magnetic systems…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

We review an effective field theory for the non-Fermi liquid regime of dense QCD matter. Non-Fermi liquid effects arise due the presence of unscreened magnetic gluon exchanges. We show that there is a systematic low energy expansion in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas Schaefer

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 chiral anomaly is a quantum mechanical effect for massless Dirac fermions in both particle physics and condensed matter physics. Here we present a set of effective models for single massless Dirac fermions in one- and three-dimensions…

Mesoscale and Nanoscale Physics · Physics 2025-09-11 Huan-Wen Wang , Bo Fu , Shun-Qing Shen

We investigate novel transport phenomena in a chiral fluid originated from an interplay between a vorticity and strong magnetic field, which induces a redistribution of vector charges in the system and an axial current along the magnetic…

High Energy Physics - Theory · Physics 2016-10-12 Koichi Hattori , Yi Yin

We analyze the Chiral Magnetic Effect for non-Hermitian fermionic systems using the biorthogonal formulation of quantum mechanics. In contrast to the Hermitian chiral counterparts, we show that the Chiral Magnetic Effect may take place in…

Mesoscale and Nanoscale Physics · Physics 2020-05-07 Maxim N. Chernodub , Alberto Cortijo

Berry curvatures are computed for a set of Heusler compounds using density functional (DF) calculations and the wave functions that DF provide. The anomalous Hall conductivity is obtained from the Berry curvatures. It is compared with…

Materials Science · Physics 2013-05-30 Jurgen Kubler , Claudia Felser

We discuss the mechanism of anomalous Hall effect related to the contribution of electron states below the Fermi surface (induced by the Berry phase in momentum space). Our main calculations are made within a model of two-dimensional…

Materials Science · Physics 2009-11-11 V. K. Dugaev , P. Bruno , M. Taillefumier , B. Canals , C. Lacroix

The anomalous velocity term in the semiclassical model of a Bloch electron deviates the trajectory from the conventional one. When the Berry curvature (alias noncommutative parameter) is a monopole in momentum space as found recently in…

Mesoscale and Nanoscale Physics · Physics 2010-04-05 P. A. Horvathy

A large Berry curvature in the vicinity of the Fermi energy is required in order to obtain a large anomalous Hall and Nernst effect. This Berry curvature can be induced by Weyl points and gapped nodal lines. One of the possible mechanisms…

Materials Science · Physics 2019-04-17 Jonathan Noky , Claudia Felser , Yan Sun

In Weyl semimetals subjected to torsion, there are two different kinds of chirality: i) the (coordinate-space) shape of the twisted crystal is chiral, and ii) the momentum space contains chiral quasi-particles. Here we construct a general…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Lan-Lan Gao , Sahal Kaushik , Dmitri E. Kharzeev , Evan John Philip

Heavy electron metals on the verge of a quantum phase transition to magnetism show a number of unusual non-fermi liquid properties which are poorly understood. This article discusses in a general way various theoretical aspects of this…

Strongly Correlated Electrons · Physics 2009-11-11 T. Senthil

We use the recently developed kinetic theory with Berry curvature to describe the fermions and antifermions of a chiral relativistic plasma. We check that this transport approach allows to reproduce the chiral anomaly equation of…

High Energy Physics - Phenomenology · Physics 2014-05-14 Cristina Manuel , Juan M. Torres-Rincon

By using the boundary derivative expansion formalism of fluid/gravity correspondence, we study the chiral vortical effect from the compactified D4-branes with smeared D0-brane charge. This background corresponds to a strongly coupled,…

High Energy Physics - Theory · Physics 2017-04-05 Chao Wu , Yidian Chen , Mei Huang

We study the excitation of the electric current of chiral fermions along the external magnetic field, known as the chiral magnetic effect, in the presence of the background axial-vector field. The calculation of the current is based on the…

High Energy Physics - Phenomenology · Physics 2018-08-22 Maxim Dvornikov

The valley Hall effect arises from valley contrasting Berry curvature and requires inversion symmetry breaking. Here, we propose a nonlinear mechanism to generate a valley Hall current in systems with both inversion and time-reversal…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Kamal Das , Koushik Ghorai , Dimitrie Culcer , Amit Agarwal

Chiral molecules form a number of non-chiral structures, the simplest being an isotropic fluid phase. In a mesophase of achiral molecules the fluctuations will on average be achiral as well: left-handed twists and right-handed twists will…

Condensed Matter · Physics 2008-02-03 T. C. Lubensky , Randall D. Kamien , Holger Stark

Using the similarity between spacetime torsion and axial gauge couplings, we study torsional contributions to the equilibrium partition function in a stationary background. In the case of a charged fluid minimally coupled to torsion, we…

High Energy Physics - Theory · Physics 2021-05-26 Juan L. Mañes , Manuel Valle , Miguel A. Vazquez-Mozo

The propagation of electromagnetic waves in an unmagnetized weakly inhomogeneous cold plasma is examined. We show that the inhomogeneity induces a gauge connection term in wave equation, which gives rise to Berry effects in the dynamics of…

Plasma Physics · Physics 2015-06-05 Reza Torabi , Mohammad Mehrafarin
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