An algebraic second-quantization for 1D Abelian anyons with phase θ=π/N is constructed, together with an exact Jordan-Wigner duality that maps π/3 anyons onto spin-1 operators.
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Interactions between hard-core anyons on a 1D lattice at infinite temperature induce pronounced left-right asymmetry in single-particle Green's functions for fractional statistics, strongest at intermediate coupling, while density-density correlations recover XXZ transport behaviors independent of θ
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Second quantization of anyons and spin-anyon duality
An algebraic second-quantization for 1D Abelian anyons with phase θ=π/N is constructed, together with an exact Jordan-Wigner duality that maps π/3 anyons onto spin-1 operators.
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Interaction-induced asymmetry in infinite-temperature dynamical correlations of hard-core anyons
Interactions between hard-core anyons on a 1D lattice at infinite temperature induce pronounced left-right asymmetry in single-particle Green's functions for fractional statistics, strongest at intermediate coupling, while density-density correlations recover XXZ transport behaviors independent of θ