Chiral magnetic effect in a cylindrical domain

TL;DR

This paper analyzes the chiral magnetic effect within a cylindrical domain, showing how boundary conditions and magnetic length influence the magnitude of the effect compared to an infinite medium.

Contribution

It provides a detailed calculation of the CME in a finite cylindrical geometry with specific boundary conditions, highlighting the suppression effects.

Findings

CME is suppressed when magnetic length exceeds cylinder radius

Suppression is more significant in weaker magnetic fields

Electric current increases monotonically from the wall to the axis

Abstract

We compute the chiral magnetic effect (CME) in a cylindrical region coaxial with the external magnetic field. As the boundary condition we require vanishing of the radial component of the electric current on the cylinder side wall. We find that when the magnetic length is comparable to or larger than the cylinder radius, the CME is suppressed compared to the corresponding result in an infinite medium. As a result, for a given cylinder radius, the suppression is stronger in weak fields. We argue that the electric current generated by the CME vanishes at the cylinder wall and monotonically increases toward the symmetry axis.