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The virial and the Hellmann--Feynman theorems for massless Dirac electrons in a solid are derived and analyzed using generalized continuity equations and scaling transformations. Boundary conditions imposed on the wave function in a finite…

介观与纳米尺度物理 · 物理学 2019-11-18 Alexey A. Sokolik , Andrey D. Zabolotskiy , Yurii E. Lozovik

We study the hydrodynamics of a gas of noninteracting Weyl fermions coupled to the electromagnetic field in $(2N + 1) + 1$ spacetime dimensions using the chiral kinetic theory, which encodes the gauge anomaly in the Chern character of the…

高能物理 - 理论 · 物理学 2017-04-05 Vatsal Dwivedi , Michael Stone

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…

介观与纳米尺度物理 · 物理学 2020-05-07 Maxim N. Chernodub , Alberto Cortijo

We study equilibrium transport properties of massless Dirac fermions at finite temperature and chemical potential in spacetime accompanied by torsion, which in four dimensions couples with Dirac fermions as an axial gauge field. In…

高能物理 - 理论 · 物理学 2022-12-06 Tatsuya Amitani , Yusuke Nishida

In this paper, we investigate the thermodynamic properties of a set of neutral Dirac particles in the presence of an electromagnetic field in contact with a heat bath for the relativistic and non-relativistic cases. In order to perform the…

量子物理 · 物理学 2019-09-02 R. R. S. Oliveira , A. A. Araújo Filho

We study flows of barotropic perfect fluid under the simultaneous action of the electromagnetic field and the axial-vector potential, the external field conjugate to the fluid helicity. We obtain the deformation of the Euler equation by the…

高能物理 - 理论 · 物理学 2023-08-08 Alexander G. Abanov , Paul B. Wiegmann

The theory relevant to the study of matter in equilibrium with the radiation field is thermal quantum electrodynamics (TQED). We present a formulation of the theory, suitable for non relativistic fluids, based on a joint functional integral…

量子物理 · 物理学 2009-11-13 Pascal R. Buenzli , Philippe A. Martin , Marc D. Ryser

In this paper, we study the contribution of the chiral vortical effect, in addition to that of the chiral magnetic effect, to the evolution of the hypermagnetic field and the matter-antimatter asymmetry in the symmetric phase of the early…

高能物理 - 唯象学 · 物理学 2020-01-13 S. Abbaslu , S. Rostam Zadeh , S. S. Gousheh

Employing the Schwinger's proper-time method, we calculate the $<\bar{\psi} \psi>$-condensate for massive Dirac fermions of charge $e$ interacting with a uniform magnetic field in a heat bath. We present general results for arbitrary…

高能物理 - 唯象学 · 物理学 2010-01-15 Alejandro Ayala , Adnan Bashir , Alfredo Raya , Angel Sanchez

Following the recent work by Braguta et al., we perform an indirect calculation of the chiral vortical conductivity with free lattice overlap fermions by measuring the response of the energy flow to the constant axial magnetic field. We…

高能物理 - 格点 · 物理学 2013-09-20 P. V. Buividovich

We consider the torsional completion of gravity with electrodynamics for Dirac matter fields; we will see that these Dirac matter field equations will develop torsionally-induced non-linear interactions, which can be manipulated in order to…

广义相对论与量子宇宙学 · 物理学 2014-10-07 Luca Fabbri

The magnetotransport properties of massless Dirac fermions in a gapless HgTe quantum well are investigated. In samples with narrow channels, a large negative magnetoresistance with a Lorentzian profile is observed, which is interpreted as a…

介观与纳米尺度物理 · 物理学 2021-08-02 D. A. Khudaiberdiev , G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , N. N. Mikhailov

The Dirac equation for charged and neutral fermions with anomalous magnetic moments is solved in a uniform magnetic field. We find the relativistic wave functions and energy spectra. In the non-relativistic limit the wave functions and…

数学物理 · 物理学 2012-05-25 M. Pitschmann , A. N. Ivanov

We explore hydrodynamics of Dirac fermions in neutral graphene in the Corbino geometry. In the absence of magnetic field, the bulk Ohmic charge flow and the hydrodynamic energy flow are decoupled. However, the energy flow does affect the…

介观与纳米尺度物理 · 物理学 2023-06-30 Vanessa Gall , Boris N. Narozhny , Igor V. Gornyi

Magnetic effects on free electron systems have been studied extensively in the context of spin-to-orbital angular momentum conversion. Starting from the Dirac equation, we derive a fully relativistic expression for the energy of free…

量子物理 · 物理学 2018-06-19 P. Kurian

We derive the quantum kinetic theory for fermions with arbitrary mass in a background electromagnetic field from the Wigner-function approach. Since spin of massive fermions is a dynamical degree of freedom, the kinetic equations with the…

高能物理 - 唯象学 · 物理学 2019-11-27 Koichi Hattori , Yoshimasa Hidaka , Di-Lun Yang

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…

高能物理 - 理论 · 物理学 2021-05-26 Juan L. Mañes , Manuel Valle , Miguel A. Vazquez-Mozo

We consider chiral liquids, that is liquids consisting of massless fermions and right-left asymmetric. In such media, one expects existence of electromagnetic current flowing along an external magnetic field, associated with the chiral…

高能物理 - 理论 · 物理学 2016-01-19 A. Avdoshkin , V. P. Kirilin , A. V. Sadofyev , V. I. Zakharov

This dissertation studies the quantum anomalous effects on the description of high energy electrodynamics. We argue that on the temperatures comparable to the electroweak scale, characteristic for the early Universe and objects like neutron…

高能物理 - 唯象学 · 物理学 2021-02-23 Petar Pavlović

We propose the new nondissipative transport effect - the appearance of axial current of thermal quasiparticles in the presence of background gravity with torsion. For the non-interacting model of massless Dirac fermions the response of the…

介观与纳米尺度物理 · 物理学 2018-12-06 Z. V. Khaidukov , M. A. Zubkov