Probing Fractionalized Charges

TL;DR

This paper introduces a new quantity inspired by holographic entanglement entropy that detects background charges in geometries, revealing different regimes where gauge fields influence the system distinctly.

Contribution

It proposes a novel charge-sensitive quantity to distinguish phases in systems with fractionalized charges, based on holographic principles.

Findings

Below critical charge, background charges affect the metric only.

Above critical charge, gauge fields significantly influence the system.

Potential to define an order parameter for phase transitions.

Abstract

Inspired by holographic entanglement entropy, for geometries with non-zero abelian charges, we define a quantity which is sensitive to the background charges. One observes that there is a critical charge below that the system is mainly described by the metric and the effects of the background charges are just via metric's components. While for charges above the critical one the background gauge field plays an essential role. This, in turn, might be used to define an order parameter to probe phases of a system with fractionalized charges.