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.
Towards holographic flat bands
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Motivated by the phenomenology in the condensed-matter flat-band Dirac systems, we here construct a holographic model that imprints the symmetry breaking pattern of a rather simple Dirac fermion model at zero chemical potential.In the bulk we explicitly include the backreaction to the corresponding Lifshitz geometry and compute the dynamical critical exponent. Most importantly, we find that such a geometry is unstable towards a nematic phase, exhibiting an anomalous Hall effect and featuring a Drude-like shift of its spectral weight. Our findings should motivate further studies of the quantum phases emerging from such holographic models.
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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.