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The transport properties of massless fermions in $3+1$ spacetime dimension have been in the focus of recent theoretical and experimental research. New transport properties appear as consequences of chiral anomalies. The most prominent is…

介观与纳米尺度物理 · 物理学 2018-05-09 Karl Landsteiner , Yan Liu

The emergence of chiral anomaly entails various fascinating phenomena such as anomalous quantum Hall effect and chiral magnetic effect in different branches of (non-)Hermitian physics. While in the single-particle picture, anomalous…

介观与纳米尺度物理 · 物理学 2024-02-19 Sharareh Sayyad

We here consider a generalization of the Klein-Gordon scalar wave equation which involves a single arbitrary function. The quantization may be viewed as allowing $\hbar$ to be a function of the momentum or wave vector rather than a…

高能物理 - 理论 · 物理学 2007-05-23 Ronald J. Adler , David I. Santiago

In this paper we continue studying the modification of the axial charge in chiral media by macroscopic helicities. Recently it was shown that magnetic reconnections result in a persistent current of zero mode along flux tubes. Here we argue…

高能物理 - 理论 · 物理学 2017-07-28 Vladimir P. Kirilin , Andrey V. Sadofyev

The applied voltage along a wire leads to a constant current density and, in turn, the azimuthal magnetic field. The absence of the radial current in a sample bulk requires nonzero radial(Hall) electric field to be present. We show that the…

介观与纳米尺度物理 · 物理学 2019-08-30 M. V. Cheremisin

The chiral magnetic effect is a one of the exotic bulk transport properties of the Weyl semimetals. Because of the Nielsen-Ninomiya "no-go theorem", the total chiral magnetic current is absent in the equilibrium state. One of the mechanisms…

强关联电子 · 物理学 2020-01-08 Zaur Z. Alisultanov

Given the intrinsic nonequilibrium nature of high-energy collisions the investigation of the dynamical properties of transport phenomena is important. The study of the real-time behavior of various conductivities and susceptibilities help…

高能物理 - 唯象学 · 物理学 2020-01-08 Miklos Horvath , Defu Hou , Hai-cang Ren

We study the dynamical evolution of the so-called chiral magnetic effect in an electromagnetic conductor. To this end, we consider the coupled set of corresponding Maxwell and chiral anomaly equations, and we prove that these can be derived…

高能物理 - 唯象学 · 物理学 2015-10-21 Cristina Manuel , Juan M. Torres-Rincon

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…

介观与纳米尺度物理 · 物理学 2010-04-05 P. A. Horvathy

We consider a theory of fermions interacting with a (in general, non-Abelian) gauge field. The theory is assumed to be essentially inhomogeneous, which might be provided by non-trivial background fields interacting with both fermions and…

高能物理 - 理论 · 物理学 2025-06-06 Praveen D. Xavier , M. A. Zubkov

We consider the Hall conductivity of two-dimensional non-interacting Bloch electrons when the magnetic flux per unit cell is a rational number $p/q$ where $p$ and $q$ are mutually coprime. We present a counter-example for the naive…

凝聚态物理 · 物理学 2009-10-22 Masaki Oshikawa

Nonlinear charge transport in solids has emerged as a powerful probe of the quantum geometric properties of Bloch electrons. While the Berry curvature underlies the intrinsic anomalous Hall effect, recent studies have suggested that the…

介观与纳米尺度物理 · 物理学 2026-05-05 Ping Tang

The paraxial (parabolic) theory of a near forward scattering of a quantum charged particle by a static magnetic field is presented. From the paraxial solution to the Aharonov-Bohm scattering problem the transverse transfered momentum (the…

介观与纳米尺度物理 · 物理学 2009-10-31 Andrei Shelankov

Using the effective conformal field theory for the quantum Hall edge states we propose a compact and convenient scheme for the computation of the periods, amplitudes and temperature behavior of the chiral persistent currents and the…

介观与纳米尺度物理 · 物理学 2007-05-23 Lachezar S. Georgiev

The generalised Boltzmann equation which treats the combined localised and delocalised nature of transport present in certain materials is extended to accommodate time-dependent fields. In particular, AC fields are shown to be a means to…

统计力学 · 物理学 2021-11-01 Alex D. C. Myhill , Peter W. Stokes , Bronson Philippa , Ronald D. White

We consider independent electrons in a periodic crystal in their ground state, and turn on a uniform electric field at some prescribed time. We rigorously define the current per unit volume and study its properties using both linear…

数学物理 · 物理学 2021-08-04 Eric Cancès , Clotilde Fermanian Kammerer , Antoine Levitt , Sami Siraj-Dine

Fluctuation theorem is derived for a quantum current system around a nonequilibrium steady state. It is demonstrated that the fluctuation theorem can be a part of the generalized Green-Kubo formula or a nonlinear response theory of an…

统计力学 · 物理学 2011-03-30 Hisao Hayakawa

The Bloch equations, which describe spin precession and relaxation in external magnetic fields, can be generalized to include the evolution of polarization tensors of various ranks in arbitrary multipole fields. The derivation of these…

量子物理 · 物理学 2015-10-23 Hans-Juergen Stoeckmann , Dirk Dubbers

We present a general quantum kinetic theory that accounts for the interplay between a temperature gradient, momentum-space Berry curvatures of Bloch electrons, and Bloch-state scattering. Using a theory that incorporates the presence of a…

介观与纳米尺度物理 · 物理学 2020-04-24 Akihiko Sekine , Naoto Nagaosa

The chiral magnetic effect is a phenomenon where an electromagnetic current is generated along a magnetic field. Recently, in nonequilibrium systems, negative longitudinal magnetoresistance has been observed experimentally in Dirac/Weyl…

介观与纳米尺度物理 · 物理学 2017-04-18 Yohei Ibe , Hiroaki Sumiyoshi