Chern-Simons Superconductivity at finite magnetic field

TL;DR

This paper investigates Chern-Simons superconductivity under arbitrary magnetic fields, revealing unique magnetic properties and the effects of gauge field fluctuations on excitations in a two-dimensional fermionic system.

Contribution

It provides a mean field analysis of Chern-Simons superconductivity with magnetic field effects and incorporates gauge field fluctuations to reveal novel magnetic asymmetries.

Findings

Discontinuities in chemical potential, susceptibility, and magnetization at integer Landau levels.

Gauge field fluctuations increase excitation masses with magnetic field.

Absence of critical or pseudo-critical magnetic fields and magnetic asymmetry in the system.

Abstract

We study Chern-Simons (CS) superconductivity in the presence of uniform external magnetic field of {\it arbitrary strength} for a system of fermions in two spatial dimensions, which are minimally coupled both to the CS and Maxwell gauge fields. We have carried out the computation within the mean field ansatz. Analysing only the mean field (i.e., ignoring the fluctuations of the gauge fields), we find that chemical potential, susceptibility and magnetization show discontinuities for integer number of filled Landau levels. Taking into account the fluctuations of the gauge fields, we find that the masses of the excitations increase with the magnetic field, and that the presence of nonlinear magnetic susceptibilities show the absence of any critical or pseudo critical magnetic field. Finally, an interesting result is that, unlike ordinary superconductors, the system is magnetically asymmetric.