• Open Access

Anomalous Hall conductivity of the holographic Z2 Dirac semimetals

Bartlomiej Kiczek, Marek Rogatko, and Karol I. Wysokinski
Phys. Rev. D 104, 086022 – Published 15 October 2021

Abstract

The anomalous spin Hall conductivity in the holographic model of Dirac semimetals with two Dirac nodes protected by the crystal symmetry has been elaborated. Such a system besides the chiral anomaly possesses another anomaly that is related to the Z2 topological charge of the system. The holographic model of the system contains matter action with two U(1)-gauge fields as well as the appropriate combination of the Chern-Simons gauge terms. We also allow for the coupling of two gauge fields via the kinetic mixing parametrized by the coupling α. The holographic approach in the probe limit enables us to obtain Hall conductivity. The aim of this work is to describe the phase transitions in the Z2 Dirac semimetals between the topologically trivial and nontrivial phases. Interestingly the anomalous Hall conductivity plays a role of the order parameter of this phase transition. The holographically found prefactor of the Hall conductivity in the topologically nontrivial phase depends on the coupling α and the Chern-Simons couplings.

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  • Received 8 February 2021
  • Accepted 29 September 2021

DOI:https://doi.org/10.1103/PhysRevD.104.086022

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Bartlomiej Kiczek*, Marek Rogatko, and Karol I. Wysokinski

  • Institute of Physics, Maria Curie-Sklodowska University, pl. Marii Curie-Sklodowskiej 1, 20-031 Lublin, Poland

  • *bkiczek@kft.umcs.lublin.pl
  • rogat@kft.umcs.lublin.pl
  • karol@tytan.umcs.lublin.pl

Article Text

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Issue

Vol. 104, Iss. 8 — 15 October 2021

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