AC conductivity for a holographic Weyl Semimetal

Abstract

We study the AC electrical conductivity at zero temperature in a holographic model for a Weyl semimetal. At small frequencies we observe a linear dependence in the frequency. The model shows a quantum phase transition between a topological semimetal (Weyl semimetal phase) with a non vanishing anomalous Hall conductivity and a trivial semimetal. The AC conductivity has an intermediate scaling due to the presence of a quantum critical region in the phase diagram of the system. The phase diagram is reconstructed using the scaling properties of the conductivity. We compare with the experimental data of [1502.03807] obtaining qualitative agreement.

arXiv comment27 pages, 5 figures and 3 appendices. Published version; references added, discussion of section 5 extended and typos corrected

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• Chiral hydrodynamics in strong external magnetic fields
• Quasinormal modes of charged magnetic black branes & chiral magnetic transport
• Conjecture on the Butterfly Velocity across a Quantum Phase Transition
• Topological nodal line semimetals in holography
• Topological invariants for holographic semimetals
• Detecting Topological Quantum Phase Transitions via the c-Function
• A smeared quantum phase transition in disordered holography
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• A Weyl-${\mathrm{Z}}_2$ semimetal from holography
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• Chiral vortical conductivity across a topological phase transition from holography
• Momentum relaxation in a holographic Weyl semimetal
• Momentum relaxation of holographic Weyl semimetal from massive gravity
• Topological invariant for holographic Weyl-${\mathrm{Z}}_2$ semimetal
• Critical scaling of the AC conductivity and momentum dissipation