Electrical resistivity near Pomeranchuk instability in two dimensions

TL;DR

This paper investigates how electrical resistivity behaves near a Pomeranchuk quantum critical point in two-dimensional systems, revealing unique temperature dependencies and impurity effects on charge transport.

Contribution

It provides a detailed analysis of DC charge transport near a d-wave Pomeranchuk instability, highlighting the temperature dependence of resistivity and impurity effects in 2D systems.

Findings

Resistivity scales as T^{3/2} at low temperatures in pure systems.

Impurities cause residual resistance that varies linearly with temperature.

Transport decay rate is linear in temperature except at cold spots on the Fermi surface.

Abstract

We analyze the DC charge transport in the quantum critical regime near a d-wave Pomeranchuk instability in two dimensions. The transport decay rate is linear in temperature everywhere on the Fermi surface except at cold spots on the Brillouin zone diagonal. For pure systems, this leads to a DC resistivity proportional to T^{3/2} in the low-temperature limit. In the presence of impurities the residual impurity resistance at T=0 is approached linearly at low temperatures.