Hyperscaling violation at the Ising-nematic quantum critical point in two-dimensional metals

  title={Hyperscaling violation at the Ising-nematic quantum critical point in two-dimensional metals},
  author={A. Eberlein and I. Mandal and S. Sachdev},
  journal={Physical Review B},
  • A. Eberlein, I. Mandal, S. Sachdev
  • Published 2016
  • Physics
  • Physical Review B
  • Understanding optical conductivity data in the optimally doped cuprates in the framework of quantum criticality requires a strongly-coupled quantum critical metal which violates hyperscaling. In the simplest scaling framework, hyperscaling violation can be characterized by a single non-zero exponent $\theta$, so that in a spatially isotropic state in $d$ spatial dimensions, the specific heat scales with temperature as $T^{(d-\theta)/z}$, and the optical conductivity scales with frequency as… CONTINUE READING
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