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Using polar decomposition, we can writeC i =U i|Ci|, where |Ci|= q C † i Ci is invertible, andU i is a unitary operator

The prescribed algebra stems from a more general consideration ofb ib† j −eiθb† jbi =C iδij whereC i ̸=C † i ̸=I

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Second quantization of anyons and spin-anyon duality

cond-mat.str-el · 2026-05-06 · unverdicted · novelty 7.0

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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  • Second quantization of anyons and spin-anyon duality cond-mat.str-el · 2026-05-06 · unverdicted · none · ref 47

    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.