Chiral vortical conductivity across a topological phase transition from holography

Abstract

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 temperature in both the Weyl semimetal phase and the quantum critical region this renormalized ratio stays as universal constants. More intriguingly, this ratio in the quantum critical region depends only on the emergent Lifshitz scaling exponent at the quantum critical point.

arXiv comment20 pages, 9 figures

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Cited by in corpus (11)

• Detecting Topological Quantum Phase Transitions via the c-Function
• Black hole interiors in holographic topological semimetals
• A Weyl-${\mathrm{Z}}_2$ semimetal from holography
• An improved holographic nodal line semimetal
• Magneto-vortical effect in strongly coupled plasma
• Momentum relaxation in a holographic Weyl semimetal
• Momentum relaxation of holographic Weyl semimetal from massive gravity
• Topological phase transitions of semimetal states in effective field theory models
• Coexistence of topological semimetal states in holography
• Topological invariant for holographic Weyl-${\mathrm{Z}}_2$ semimetal
• Holographic Topological Semimetals