Holographic Fermi surfaces in charge density wave from D2-D8

TL;DR

This paper investigates the effects of charge and spin density waves, as well as ionic lattices, on Fermi surfaces using the D2-D8 holographic model, revealing the absence of Fermi surfaces for certain dual operators.

Contribution

It provides a numerical analysis of fermionic spectral functions in a D2-D8 holographic setup with density waves and lattice effects, highlighting the conditions for Fermi surface formation.

Findings

Fermi surfaces form and develop gaps under certain conditions.

Inclusion of ionic lattice modifies the Fermi surface behavior.

No Fermi surface observed for dual operators in this model.

Abstract

D2-D8 model admits a numerical solution that corresponds to a charge density wave and a spin density wave. Considering that as the background, we numerically solve the Dirac equation for probe fermions. From the solution, we obtain the Green's function and study the behaviour of the spectral density. We begin with generic fermions and have studied the formation of the Fermi surface and where it develops a gap. In addition, we have incorporated an ionic lattice and study its effect on the Fermi surface. Then we analysed the worldvolume fermions. In this particular model we do not find Fermi surface for the dual operators.