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Odd viscosity in the quantum critical region of a holographic Weyl semimetal
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We study odd viscosity in a holographic model of a Weyl semimetal. The model is characterised by a quantum phase transition from a topological semimetal to a trivial semimetal state. Since the model is axisymmetric in three spatial dimensions there are two independent odd viscosities. Both odd viscosity coefficients are non-vanishing in the quantum critical region and non-zero only due to the mixed axial gravitational anomaly. It is therefore a novel example in which the mixed axial gravitational anomaly gives rise to a transport coefficient at first order in derivatives at finite temperature. We also compute anisotropic shear viscosities and show that one of them violates the KSS bound. In the quantum critical region, the physics of viscosities as well as conductivities is governed by the quantum critical point.
Forward citations
Cited by 2 Pith papers
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Nonequilibrium steady states in driven holographic Weyl semi-metals
A driven holographic Weyl semimetal supports a stable nonequilibrium steady state, becomes superharmonic and then chaotic at stronger driving, and exhibits strong-coupling chiral pumping in a magnetic field.
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Out-of-bounds hydrodynamics in holographic anisotropic Dirac semimetals
A backreacted holographic model of an anisotropic Dirac semimetal gives η/s below the KSS bound in the quantum critical region, with low-temperature scaling η/s ~ T^0.56 tied to a Lifshitz dynamical exponent z ≈ 1.9.
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