Anomalous Hall conductivity of the holographic $\mathbb Z_2$ Dirac semimetals - INSPIRE

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Anomalous Hall conductivity of the holographic $\mathbb Z_2$ Dirac semimetals

Bartlomiej Kiczek
(
- Lublin, Curie U.
)
,
Marek Rogatko
(
- Lublin, Curie U.
)
,
Karol I. Wysokinski
(
- Lublin, Curie U.
)

Oct 25, 2020

13 pages

Published in:

Phys.Rev.D 104 (2021) 8, 086022

Published: Oct 15, 2021

e-Print:

2010.13095 [hep-th]

DOI:

10.1103/PhysRevD.104.086022 (publication)

View in:

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Abstract: (APS)

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

Z_{2}

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

Z_{2}

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.

Note:

28 pages, 11 figures, RevTex

mixing: kinetic
gauge field theory: U(1)
background field
Maxwell equation
Hall effect

References(32)

Figures(11)

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