Quantum oscillations and black hole ringing

TL;DR

This paper demonstrates that strongly coupled holographic field theories at finite charge density can exhibit quantum oscillations similar to de Haas-van Alphen effects, analyzed through fermionic one-loop contributions and quasinormal modes.

Contribution

It introduces a method to compute quantum oscillations in holographic theories via one-loop fermionic effects and explores their dependence on low energy scaling and black hole parameters.

Findings

Quantum oscillations occur in holographic theories at low temperatures.

Periodic nonanalyticities in magnetic susceptibility depend on fermionic operator scaling.

Numerical and WKB analyses reveal nontrivial magnetic field behavior.

Abstract

We show that strongly coupled field theories with holographic gravity duals at finite charge density and low temperatures can undergo de Haas - van Alphen quantum oscillations as a function of an external magnetic field. Exhibiting this effect requires computation of the one loop contribution of charged bulk fermions to the free energy. The one loop calculation is performed using a formula expressing determinants in black hole backgrounds as sums over quasinormal modes. At zero temperature, the periodic nonanalyticities in the magnetic susceptibility as a function of the inverse magnetic field depend on the low energy scaling behavior of fermionic operators in the field theory, and are found to be softer than in weakly coupled theories. We also obtain numerical and WKB results for the quasinormal modes of charged bosons in dyonic black hole backgrounds, finding evidence for nontrivial periodic behavior as a function of the magnetic field.