Abstract

Anyon superconductivity is studied theoretically in a double-layer system containing identical anyons. In the mean-field approximation it is shown that the system possesses the superconducting phase due to the condensation of pairs of anyons belonging to different layers. There is no violation of P and T symmetry in this phase. The ground-state wavefunction derived exhibits these features. The gap energy is also calculated explicitly as ε F for semions, ε F being the fermi energy. The magnetic field is found to be squeezed into a vortex carrying one half of the Dirac unit of the magnetic flux.

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