A critical strange metal from fluctuating gauge fields in a solvable random model

TL;DR

This paper introduces a solvable random model of fermions coupled to fluctuating gauge fields, revealing a gapless non-Fermi liquid phase with unique thermodynamic and transport properties, extending SYK-like techniques.

Contribution

It develops a new solvable model of fermions with gauge field fluctuations, combining hopping and interactions to realize a non-Fermi liquid phase.

Findings

Derives thermodynamic properties of the non-Fermi liquid phase.

Analyzes charge transport in an infinite-dimensional spatial version.

Establishes a connection to SYK model techniques.

Abstract

Building upon techniques employed in the construction of the Sachdev-Ye-Kitaev (SYK) model, which is a solvable $0+1$ dimensional model of a non-Fermi liquid, we develop a solvable, infinite-ranged random-hopping model of fermions coupled to fluctuating U(1) gauge fields. In a specific large-$N$ limit, our model realizes a gapless non-Fermi liquid phase, which combines the effects of hopping and interaction terms. We derive the thermodynamic properties of the non-Fermi liquid phase realized by this model, and the charge transport properties of an infinite-dimensional version with spatial structure.