de Haas-van Alphen oscillations for non-relativistic fermions coupled to an emergent U(1) gauge field

TL;DR

This paper calculates the quantum oscillation amplitude corrections for non-relativistic fermions coupled to a U(1) gauge field, relevant for understanding non-Fermi liquid behavior in underdoped cuprates.

Contribution

It provides the first computation of 1/N corrections to Lifshitz-Kosevich oscillations in a model with gauge field coupled fermions, advancing theoretical understanding of quantum oscillations in non-Fermi liquids.

Findings

Computed 1/N correction to oscillation amplitude in the dirty limit.

Linked theoretical results to recent observations in underdoped cuprates.

Extended Lifshitz-Kosevich theory to gauge field coupled fermion systems.

Abstract

We investigate magento-oscillations in the specific heat of non-relativistic fermions with a Fermi surface minimally coupled to a fluctuating U(1) gauge field. Our study is motivated by the recent observation of quantum oscillations in the underdoped cuprates, and by theoretical models of pocket Fermi surfaces realizing a non-Fermi liquid `algebraic charge liquid'. Our main result is the computation of the order 1/N correction to the Lifshitz-Kosevich expression for the oscillation amplitude in the dirty limit in a model with N species of fermions.