Superconductivity in Anyon Fluid at Finite Temperature and Density

TL;DR

This paper investigates how boundary effects influence magnetic field screening in a charged anyon fluid at finite temperature and density, revealing conditions for complete or partial Meissner effects and characterizing magnetic penetration lengths.

Contribution

It analytically solves extremum equations to analyze boundary effects on magnetic screening in an anyon fluid at finite temperature and density.

Findings

Half-plane sample shows complete Meissner effect.

Infinite strip exhibits partial Meissner effect.

Magnetic field penetration lengths depend on temperature.

Abstract

The boundary effects in the screening of an applied magnetic field in a charged anyon fluid at finite temperature and density are investigated. By analytically solving the extremum equations of the sytem and minimizing the free energy density, we find that in a sample with only one boundary (the half plane), a total Meissner effect takes place; while the sample with two boundaries (the infinite strip) exhibits a partial Meissner effect. The short-ranges modes of propagation of the magnetic field inside the fluid are characterized by two temp erature dependent penetration lengths.