Critical fermi surfaces and non-fermi liquid metals

TL;DR

This paper explores quantum critical points in metals where the Fermi surface remains well-defined despite the absence of quasiparticles, affecting universal critical phenomena and experimental observations.

Contribution

It introduces the concept of a critical Fermi surface at quantum critical points, challenging traditional quasiparticle-based descriptions and proposing new scaling hypotheses.

Findings

Fermi surface remains sharply defined at criticality.

Universal critical singularities are significantly modified.

Implications for heavy fermion and cuprate experiments.

Abstract

At certain quantum critical points in metals an entire Fermi surface may disappear. A crucial question is the nature of the electronic excitations at the critical point. Here we provide arguments showing that at such quantum critical points the Fermi surface remains sharply defined even though the Landau quasiparticle is absent. The presence of such a critical Fermi surface has a number of consequences for the universal phenomena near the quantum critical point which are discussed. In particular the structure of scaling of the universal critical singularities can be significantly modified from more familiar criticality. Scaling hypotheses appropriate to a critical fermi surface are proposed. Implications for experiments on heavy fermion critical points are discussed. Various phenomena in the normal state of the cuprates are also examined from this perspective. We suggest that a phase transition that involves a dramatic reconstruction of the Fermi surface might underlie a number of strange observations in the metallic states above the superconducting dome.