Entanglement entropy of compressible holographic matter: loop corrections from bulk fermions

TL;DR

This paper investigates entanglement entropy in holographic models of compressible matter, incorporating bulk fermion loop corrections, and finds agreement with field theory predictions, enhancing understanding of Fermi surfaces in strongly correlated systems.

Contribution

It extends previous holographic entanglement entropy analyses by including bulk fermion loop corrections, providing a more complete picture of entanglement in compressible holographic matter.

Findings

Holographic and field theory entanglement entropy calculations agree.

Bulk fermion loops significantly affect entanglement entropy.

Results support the holographic modeling of Fermi surfaces in strongly interacting systems.

Abstract

Entanglement entropy is a useful probe of compressible quantum matter because it can detect the existence of Fermi surfaces, both of microscopic fermionic degrees of freedom and of "hidden" gauge charged fermions. Much recent attention has focused on holographic efforts to model strongly interacting compressible matter of interest for condensed matter physics. We complete the entanglement analysis initiated in Huijse {\em et al.}, Phys. Rev. B 85, 035121 (2012) (arXiv:1112.0573) and Ogawa {\em et al.}, JHEP 1, 125 (2012) (arXiv:1111.1023) using the recent proposal of Faulkner {\em et al.} (arXiv:1307.2892) to analyze the entanglement entropy of the visible fermions which arises from bulk loop corrections. We find perfect agreement between holographic and field theoretic calculations.