# Spectral Weight Suppression and Fermi Arc-like Features with Strong Holographic Lattices

## TL;DR

This paper studies how strong inhomogeneities in holographic models cause spectral weight suppression and Fermi arc-like features, resembling phenomena observed in strongly correlated materials.

## Contribution

It demonstrates that strong spatial modulations lead to Fermi surface segmentation and arc-like features, regardless of spontaneous or explicit translational symmetry breaking.

## Key findings

- Spectral weight suppression occurs when Fermi surface exceeds the first Brillouin zone.
- Fermi surface gradually disappears along the symmetry breaking direction.
- Fermi arcs emerge as a generic consequence of strong inhomogeneities.

## Abstract

We investigate holographic fermions in uni-directional striped phases, where the breaking of translational invariance can be generated either spontaneously or explicitly. We solve the Dirac equation for a probe fermion in the associated background geometry. When the spatial modulation effect becomes sufficiently strong, we see a spectral weight suppression whenever the Fermi surface is larger than the first Brillouin zone. This leads to the gradual disappearance of the Fermi surface along the symmetry breaking direction, in all of the cases we have examined. This effect appears to be a generic consequence of strong inhomogeneities, independently of whether translational invariance is broken spontaneously or explicitly. The resulting Fermi surface is segmented and has features reminiscent of Fermi arcs.