In the single-impurity limit, the wavefunction and momentum distribution of a strongly repulsive 1D mixture on a flux-threaded ring exactly match hard-core anyons with discrete statistical angle θ=2πn/N.
Kundu, Physical Review Letters83, 1275 (1999)
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Exact statistical transmutation of quantum mixtures on a ring
In the single-impurity limit, the wavefunction and momentum distribution of a strongly repulsive 1D mixture on a flux-threaded ring exactly match hard-core anyons with discrete statistical angle θ=2πn/N.