Anyon superconductivity at rational statistics
D. M. Gaitonde, Sumathi Rao
DOI 10.1103/PhysRevB.44.929 · Physical Review B
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Abstract
We study the anyon gas with repulsive interactions at θ=π(1-1/ν), where ν is a fractional-quantum-Hall-effect filling fraction, using Jain’s composite-fermion and decomposition-of-fermion techniques. In the first case, the anyon gas forms a superconducting state, which, however, is the same as the state that occurs at ν=m, where m is an integer, with no repulsive interactions. In the second approach, the anyon gas forms correlated states that are superconducting at ν−1=ΣIp=1/mI, with p an odd integer and mI an integer.
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