On the Meissner effect in the Relativistic Anyon superconductors

TL;DR

This paper investigates the Meissner effect in relativistic anyon superconductors, showing it occurs with specific fermion interactions and revealing unique features like magnetization plateaus and mixed electromagnetic excitations.

Contribution

It introduces a relativistic model with two fermion types interacting via Chern-Simons and Maxwell fields, demonstrating conditions for the Meissner effect and novel electromagnetic phenomena.

Findings

Meissner effect occurs with fermions having different magnetic moments

An extra magnetization plateau appears under certain conditions

Electromagnetic spectrum includes long-range and massive photon states

Abstract

The relativistic model with two types of planar fermions interacting with the Chern-Simons and Maxwell fields is applied to the study of anyon superconductor. It is demonstrated, that the Meissner effect can be realized in the case of the simultaneous presence of the fermions with a different magnetic moment interactions. Under the certain conditions there occures an extra plateau at the magnetization curve. In the order under consideration the spectrum of the electromagnetic field excitations contains the long-range interaction and one massive "photon" state.