Generalized Lifshitz-Kosevich scaling at quantum criticality from the holographic correspondence

TL;DR

This paper investigates quantum oscillations in a strongly interacting quantum critical system using holography, revealing a generalized Lifshitz-Kosevich scaling dependent on a critical exponent, with the classic formula recovered at a specific value.

Contribution

It introduces a holographic approach to analyze quantum oscillations in non-Fermi liquids and derives a generalized scaling law that extends the Lifshitz-Kosevich formula.

Findings

Temperature dependence of oscillation amplitude depends on critical exponent nu.

General nu values lead to non-standard Lifshitz-Kosevich scaling.

At nu=1/2, the classic Lifshitz-Kosevich formula is recovered.

Abstract

We characterize quantum oscillations in the magnetic susceptibility of a quantum critical non-Fermi liquid. The computation is performed in a strongly interacting regime using the nonperturbative holographic correspondence. The temperature dependence of the amplitude of the oscillations is shown to depend on a critical exponent nu. For general nu the temperature scaling is distinct from the textbook Lifshitz-Kosevich formula. At the `marginal' value nu = 1/2, the Lifshitz-Kosevich formula is recovered despite strong interactions. As a by-product of our analysis we present a formalism for computing the amplitude of quantum oscillations for general fermionic theories very efficiently.