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Chiral vortical conductivity across a topological phase transition from holography

Apr 16, 2019

11 pages

Published in:

Phys.Rev.D 100 (2019) 12, 126013

Published: Dec 11, 2019

e-Print:

1904.08058 [hep-th]

DOI:

10.1103/PhysRevD.100.126013

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Abstract: (APS)

We study the chiral vortical conductivity in a holographic Weyl semimetal model which describes a topological phase transition from the strongly coupled topologically nontrivial phase to a trivial phase. We focus on the temperature dependence of the chiral vortical conductivity where the mixed gauge-gravitational anomaly plays a crucial role. After a proper renormalization of the chiral vortical conductivity by the anomalous Hall conductivity and temperature squared, we find that at low temperatures, in both the Weyl semimetal phase and the quantum critical region, this renormalized ratio remains a universal constant. Furthermore, we provide numerical evidence that in the quantum critical region, this ratio depends only on the emergent Lifshitz scaling exponent at the quantum critical point.

Note:

20 pages, 9 figures

String theory, quantum gravity, gauge/gravity duality
critical phenomena: topological
scaling: Lifshitz
temperature: low
conductivity
chiral
holography
Weyl
temperature dependence
renormalization

References(37)

Figures(11)

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