Self-consistent mean-field approach for the ideal anyon gas

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Abstract
Using a self-consistent mean-field theory, where the anyon gauge field is approximated by its expectation value, we obtain a linear excitation spectrum for noninteracting anyon systems. The sound velocity is found to be √3 /2 of the value obtained by the random-phase approximation. The uniform liquid state of the anyon gas is shown to be locally stable against solid formation.