Non-relativistic anyons from holography

TL;DR

This paper investigates holographic models of dense matter with Lifshitz scaling and hyperscaling violation, focusing on collective excitations and the properties of a strongly coupled anyonic fluid under magnetic fields.

Contribution

It introduces a holographic framework for non-relativistic anyons using probe D-branes in Lifshitz backgrounds, analyzing collective modes and universal properties.

Findings

The Einstein relation holds universally in the studied models.

Properties of a strongly coupled anyonic fluid are characterized.

Universal features of holographic matter are identified.

Abstract

We study generic types of holographic matter residing in Lifshitz invariant defect field theory as modeled by adding probe D-branes in the bulk black hole spacetime characterized by dynamical exponent $z$ and with hyperscaling violation exponent $\theta$. Our main focus will be on the collective excitations of the dense matter in the presence of an external magnetic field. Constraining the defect field theory to 2+1 dimensions, we will also allow the gauge fields become dynamical and study the properties of a strongly coupled anyonic fluid. We will deduce the universal properties of holographic matter and find that the Einstein relation always holds.