Scaling theory of the cuprate strange metals

Sean A. Hartnoll and Andreas Karch
Phys. Rev. B 91, 155126 – Published 17 April 2015

Abstract

We show that the anomalous temperature scaling of five distinct transport quantities in the strange metal regime of the cuprate superconductors can be reproduced with only two nontrivial critical exponents. The quantities are (i) the electrical resistivity, (ii) the Hall angle, (iii) the Hall-Lorenz ratio, (iv) the magnetoresistance, and (v) the thermopower. The exponents are the dynamical critical exponent z=4/3 and an anomalous scaling dimension Φ=2/3 for the charge density operator.

  • Figure
  • Received 13 February 2015
  • Revised 4 April 2015

DOI:https://doi.org/10.1103/PhysRevB.91.155126

©2015 American Physical Society

Authors & Affiliations

Sean A. Hartnoll1 and Andreas Karch2

  • 1Department of Physics, Stanford University, Stanford, California 94305-4060, USA
  • 2Department of Physics, University of Washington, Seattle, Washington 98195, USA

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Issue

Vol. 91, Iss. 15 — 15 April 2015

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