Dipole Coupling Effect of Holographic Fermion in Charged Dilatonic Gravity

TL;DR

This paper investigates how dipole coupling influences holographic fermions in a charged dilatonic black hole, revealing that Fermi liquid properties are stable under perturbations, but large couplings can induce a gap and destroy the Fermi surface.

Contribution

It demonstrates the effects of dipole coupling on holographic fermions in dilatonic backgrounds, including Fermi momentum shifts and gap formation, which are novel insights.

Findings

Fermi liquid properties are robust under dipole perturbations.

Fermi momentum shifts linearly with dipole coupling.

A gap forms and Fermi surface disappears at large couplings.

Abstract

In this note, we study the dipole coupling effect of holographic fermion in a charged dilatonic black hole proposed by Gubser and Rocha (arXiv:0911.2898). It is found that the property of Fermi liquid is rigid under perturbation of dipole coupling, and the Fermi momentum is linearly shifted. A gap is dynamically generated as the coupling becomes large enough and the Fermi surface ceases to exist as the bulk dipole coupling further increases.