Scaling theory of the cuprate strange metals

TL;DR

This paper presents a scaling theory that explains the unusual temperature dependence of five transport properties in cuprate strange metals using only two critical exponents, providing a unified framework for understanding their anomalous behavior.

Contribution

It introduces a minimal scaling model with two critical exponents that reproduces the temperature scaling of multiple transport quantities in cuprate strange metals.

Findings

Reproduces resistivity, Hall angle, and other transport scalings with two exponents.

Identifies critical exponents z=4/3 and Phi=-2/3 as key to anomalous behavior.

Provides a unified theoretical framework for strange metal transport phenomena.

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 Phi = -2/3 for the charge density operator.