Magneto-conductivity and CME in Dirac semimetals from Keldysh technique in Landau levels basis

2025/08/22 by Abramchuk, Ruslan A.
#FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

paper · doi:10.48550/arxiv.2508.16266

Abstract

Negative magnetoresistance in Dirac semimetals is conventionally considered as a manifestation of chiral magnetic effect (CME), by means of a postulated Chiral Kinetic equation. In this paper we study magnetoconductivity in large Fermi energy Dirac semimetals, in one of which (ZrTe₅) the effect was observed for the first time. Starting with a Hamiltonian for a semi-realistic model of such a Dirac semimetal, we apply the Non-equilibrium Diagram Technique (NDT, or the Keldysh technique) to derive the kinetic equations, to investigate the electrons relaxation due to interaction with phonons and disorder, and, finally, to calculate the DC magnetoconductivity (the longitudinal to magnetic field component of conductivity) as a function of magnetic field strength and temperature. Finally, we compare the obtained temperature dependencies with available to us experimental data.

Citations

• Generalized Wigner-Weyl calculus for gauge theory and non-dissipative transport
• Chiral Magnetic Effect out of equilibrium
• Chiral Magnetic Effect in finite-size samples of parity-breaking Weyl semimetals
• Quantum transport theory for abelian plasmas

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