Superconductive pairing of fermions and semions in two dimensions
Geoffrey Canright, S. M. Girvin, Andy Brass
Abstract
Geoffrey Canright, S. M. Girvin, Andy Brass
Abstract
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.
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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.
Key concepts: Pairing, Fermion, Physics, Quasiparticle, Quantization (signal processing), Quantum mechanics, Condensed matter physics, Superconductivity