Holographic Fermi surfaces near quantum phase transitions

TL;DR

This paper investigates holographic Fermi surfaces near quantum phase transitions using gauge/gravity duality, analyzing fermionic self-energies at critical points to connect with marginal Fermi liquid models.

Contribution

It introduces a holographic model with a charged black hole and a scalar field at quantum criticality, computing one-loop fermionic self-energies to explore non-Fermi liquid behavior.

Findings

Computed bulk one-loop fermionic self-energies at quantum critical points.

Connected holographic models to marginal Fermi liquid phenomenology.

Discussed low-energy issues relevant for physical interpretations.

Abstract

We study holographic Fermi surfaces coupled to a bosonic degree of freedom using the gauge/gravity correspondence. The gravity background is a charged black hole in asymptotically AdS spacetime. We introduce a neutral scalar field with parameters such that the system is at a quantum phase transition point. We further introduce a Dirac field and couple it to the scalar. At finite N, these fields interact in the bulk. We compute the bulk one-loop contribution to the boundary fermionic self-energies at various quantum phase transition points. The results would give an embedding of the marginal Fermi liquid model by Varma et al. into a holographic context. We comment on important issues that arise at low energies when one wants to take the one-loop results more seriously.