Holographic Entanglement Entropy with Momentum Relaxation

TL;DR

This paper investigates how momentum relaxation affects holographic entanglement entropy for different regions, revealing the influence of electric fields and thermoelectric conductivity on entanglement measures.

Contribution

It provides analytic and numerical analysis of entanglement entropy in momentum relaxation systems, highlighting the linear response to electric fields and the measurable thermoelectric conductivity.

Findings

Electric field impacts the minimal surface in entanglement entropy calculations.

Entanglement entropy of wedges shows a linear change proportional to electric field.

Thermoelectric conductivity $areta$ can be inferred from entanglement entropy variations.

Abstract

We studied the holographic entanglement entropy for a strip and sharp wedge entangling regions in momentum relaxation systems. In the case of strips, we found analytic and numerical results for the entanglement entropy and showed the effect on the minimal surface by the electric field. We also studied the entanglement entropy of wedges and confirmed that there is a linear change in the electric field. This change is proportional to the thermoelectric conductivity, $\bar\alpha$, that can be measured.