Superconductive Pairing of Fermions and Semions in Two-dimensions

Canright, G.S.; Girvin, S.M.; Brass, A.

doi:10.1103/PhysRevLett.63.2295

Superconductive Pairing of Fermions and Semions in Two-dimensions

1989

4 pages

Published in:

Phys.Rev.Lett. 63 (1989) 2295-2298

DOI:

10.1103/PhysRevLett.63.2295

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Abstract: (APS)

We have observed, in exact numerical solutions of small systems, the microscopic precursors of superconductive pairing of fermions and semions (half-statistics quasiparticles) in two dimensions. We recognize the paired state by flux quantization at intervals of hc/2e. We find that the fermions pair only for values of an interparticle potential u which is large and negative, while the semions pair for a wide range of u, including strong repulsion. We also find that the semions, in the paired state, prefer quantized flux in odd multiples of hc/4e.

superconductivity
dimension: 2
statistical mechanics: semion
statistical mechanics: fermion
statistics: fractional
flux: quantization
energy: ground state
approximation: lattice
bound state: (2semion)
bound state: (2fermion)

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