Transport properties in magnetized compact stars

TL;DR

This paper investigates the transport properties of dense quark matter under strong magnetic fields, highlighting the anomalous Hall effect in inhomogeneous chiral phases and its similarities to Weyl semimetals.

Contribution

It reveals the intrinsic anomalous Hall effect in inhomogeneous chiral phases of dense quark matter and discusses its theoretical aspects and dependence on magnetic field and density.

Findings

Anomalous Hall effect is intrinsic to inhomogeneous chiral phases.

Hall conductivity depends on magnetic field strength and density.

The effect resembles the one observed in Weyl semimetals.

Abstract

Transport properties of dense quark matter are discussed in the strong magnetic field, B. B dependence as well as density dependence of the Hall conductivity is discussed in the inhomogeneous chiral phase. Anomalous Hall effect is intrinsic to the inhomogeneous chiral phase and resembles the one in Weyl semimetals in condensed matter physics. Some theoretical aspects inherent in anomalous Hall effect are revealed.