Universal chiral magnetic effect in the vortex lattice of a Weyl superconductor

TL;DR

This paper demonstrates a universal chiral magnetic effect in Weyl superconductor vortex lattices, where Majorana fermions induce an equilibrium current proportional to magnetic flux and chemical potential.

Contribution

It reveals a universal contribution to the chiral magnetic effect arising from Majorana fermions in vortex cores of Weyl superconductors.

Findings

Universal current-flux relation: dI/dΦ=(e/h)^2 μ

Majorana fermions confined in vortex cores

Chiral magnetic effect in Weyl superconductor vortex lattice

Abstract

It was shown recently that Weyl fermions in a superconducting vortex lattice can condense into Landau levels. Here we study the chiral magnetic effect in the lowest Landau level: The appearance of an equilibrium current $I$ along the lines of magnetic flux $\Phi$, due to an imbalance between Weyl fermions of opposite chirality. A universal contribution $dI/d\Phi=(e/h)^2\mu$ (at equilibrium chemical potential $\mu$ relative to the Weyl point) appears when quasiparticles of one of the two chiralities are confined in vortex cores. The confined states are charge-neutral Majorana fermions.