Studying the holographic Fermi surface in the scalar induced anisotropic background

TL;DR

This paper investigates the effects of dipole couplings and scalar field-induced translational symmetry breaking on the Fermi surface in a holographic Mott-Insulator model, revealing phenomena like spectral weight transfer and Fermi surface smearing.

Contribution

It introduces a holographic model with scalar-induced anisotropy and studies the Fermi surface evolution under various couplings, providing insights into condensed matter phenomena.

Findings

Spectral weight transfer observed with parameter tuning

Fermi surface smearing linked to scalar field effects

Holographic model replicates experimental condensed matter behaviors

Abstract

Holographic properties of a finite density fermion system have been shown to exhibit many interesting behaviours which can be observed in future. In this paper, we study low energy fermion properties in the framework of the holographic Mott-Insulator system. We study the nature of the Fermi surface and its evolution by tuning two types of dipole couplings in the bulk. We further introduce translational symmetry breaking complex scalar field, which is assumed to couple with the holographic fermions. The symmetry breaking background induced by the scalar field is known as Q-lattice. We calculate the fermion spectral function, which captures the low energy behaviour of the system. By tuning the dipole parameters and the non-normalizable component of the scalar field, we observe interesting phenomena such as spectral weight transfer, Fermi surface smearing, which has already been reported in various real condensed matter experiments.