The holographic Fermions over the ionic lattice with CDW

TL;DR

This paper investigates how charge density waves in an ionic lattice background influence the Fermi surface structure and band gap formation in holographic fermions, revealing effects of doping and lattice amplitude.

Contribution

It provides a detailed holographic analysis of Fermi surface modifications and band gap behavior due to CDW and lattice parameters, a novel insight into strongly correlated systems.

Findings

CDW enhances spectral function amplitude and Fermi surface momentum.

Fermi surface radius expands with doping, crossing the first Brillouin zone.

Band gap width increases with lattice amplitude, aligning with experimental observations.

Abstract

We study the holographic Fermion as a probe over the background with ionic lattice, which may undergo a phase transition with the development of charge density wave by the spontaneous breaking of the translational symmetry. We focus on the structure of the Fermi surface within different Brillouin zones and demonstrate how the presence of CDW in the background affects the formation of the band gap in the momentum space. Specifically, we find the formation of the CDW enhances the amplitude of spectral function as well as the momentum of the Fermi surface. Furthermore, we are concerned with the change of the Fermi surface with the doping parameter as well as the lattice amplitude. Interestingly, we find that the radius of the Fermi surface expands with the increase of the doping parameter and finally may cross the first Brillouin zone. Additionally, the width of band gap becomes larger with the increase of the lattice amplitude as well, which is consistent with the observation in condensed matter experiments.