Superconductivity in the fractional-statistics gas

D. Schmeltzer

Physica A: Statistical Mechanics and its Applications, 1990, vol. 168, issue 1, 378-385

Abstract: We show that a charged hard-core boson with fractional-statistics might have anisotropic superconductivity. The vector potential of this magnetic field is singular and depends on the electric charge density. Mapping the problem to a vortex lattice, we find that for the semion case the charge neutrality condition implies that the electric charge can have two opposite vorticies + 12. As a result the two vortices bind forming a boson of charge 2e. The critical temperature for binding is the Kosterlitz Thouless temperature. Below this critical temperature an effective model for anisotropic superconductivity is derived.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:168:y:1990:i:1:p:378-385

DOI: 10.1016/0378-4371(90)90389-A

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