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<p>We present a version of a strongly correlated 2+1-dimensional condensed matter system that features a thermal phase transition between a semimetal and an insulator through a semi-Dirac quantum critical region using AdS/CFT holography. We introduce backreaction into the bulk equations of motion to measure transport coefficients in the boundary; specifically the shear viscosity <i>η</i>. By explicitly breaking rotational symmetry we find a new instance of violation of the KSS-bound for the <i>η</i>/<i>s</i> ratio in the quantum critical region, as well as a monotone dependence on temperature in the <i>T</i> → 0 regime fixed by a Lifshitz dynamical critical exponent. We find that the Lifshitz critical exponent in the anisotropic direction is approximately equal to 2 for our choice of backreaction parameters. We find explicit <i>T</i> = 0 solutions separated by a quantum critical point in parameter space, showing that the thermal critical phase found in previous work comes from a quantum phase transition at zero temperature.</p>

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Out-of-bound hydrodynamics in holographic anisotropic Dirac semimetals

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月2日

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  • Sebastián Bahamondes,
  • Ignacio Salazar Landea,
  • Rodrigo Soto-Garrido

摘要

We present a version of a strongly correlated 2+1-dimensional condensed matter system that features a thermal phase transition between a semimetal and an insulator through a semi-Dirac quantum critical region using AdS/CFT holography. We introduce backreaction into the bulk equations of motion to measure transport coefficients in the boundary; specifically the shear viscosity η. By explicitly breaking rotational symmetry we find a new instance of violation of the KSS-bound for the η/s ratio in the quantum critical region, as well as a monotone dependence on temperature in the T → 0 regime fixed by a Lifshitz dynamical critical exponent. We find that the Lifshitz critical exponent in the anisotropic direction is approximately equal to 2 for our choice of backreaction parameters. We find explicit T = 0 solutions separated by a quantum critical point in parameter space, showing that the thermal critical phase found in previous work comes from a quantum phase transition at zero temperature.