Zamolodchikov-Faddeev algebra in 2-component anyons

Physics – Condensed Matter

Scientific paper

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Preprint of Nankai Institute of Mathematics, China

Scientific paper

10.1088/0305-4470/29/18/035

We investigate Wilczeck's mutual fractional statistical model at the field-
theoretical level. The effective Hamiltonian for the particles is derived by
the canonical procedure, whereas the commutators of the anyonic excitations are
proved to obey the Zamolodchikov-Faddeev algebra. Cases leading to well known
statistics as well as Laughlin's wave function are discussed.

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