Holographic Fermi surfaces at finite temperature in top-down constructions

TL;DR

This paper investigates holographic Fermi surfaces at finite temperature and charge density in top-down supergravity models, revealing conditions under which Fermi surfaces emerge and their properties.

Contribution

It introduces a numerical method based on fermion bilinears for calculating Green's functions in supergravity backgrounds, advancing the analysis of holographic Fermi surfaces.

Findings

Holographic Fermi surfaces appear when scalar fields have expectation values.

The backgrounds studied have vanishing entropy density in extremal limits.

Fermi surfaces carry non-singlet gauge quantum numbers.

Abstract

We calculate the two-point Green's functions of operators dual to fermions of maximal gauged supergravity in four and five dimensions, in finite temperature backgrounds with finite charge density. The numerical method used in these calculations is based on differential equations for bilinears of the supergravity fermions rather than the equations of motion for the fermions themselves. The backgrounds we study have vanishing entropy density in appropriate extremal limits. Holographic Fermi surfaces are observed when the scalar field participating in the dual field theory operator has an expectation value, which makes sense from the point of view that the quasi-particles near the Fermi surfaces observed carry non-singlet gauge quantum numbers in the dual field theory.