Evolution of holographic Fermi surface from non-minimal couplings

TL;DR

This paper investigates how non-minimal couplings affect the evolution of the holographic Fermi surface in an anisotropic background, revealing spectral suppression and deformation similar to condensed matter phenomena.

Contribution

It introduces non-minimal interaction terms in a holographic fermion model and analyzes their impact on Fermi surface properties without background backreaction.

Findings

Spectral weight suppression observed

Fermi surface deformation detected

Evolution of Fermi surface with parameters studied

Abstract

We study a holographic toy model by considering a probe fermion of finite charge density in an anisotropic background. By computing the fermionic spectral function numerically, we observed that the system exhibits some interesting behaviours in the nature of the Fermi surface (FS) and its evolution when tuning the controlling parameters. We introduced non-minimal interaction terms in the action for holographic fermions along with a complex scalar field but neglecting the backreaction of the fermions field on the background. Suppression in the spectral weight and deformation of FS is observed, which are reminiscent of the results seen in various condensed matter experiments in real materials.