Abstract
We study a tight-binding model for anyons on a square lattice using a self-consistent mean-field theory, where the anyon gauge field is approximated by its expectation value. For any anyon density per site {rho}{sub 0}={ital p}/{ital q} and statistics {nu}=1{minus}1/{ital n}, the anyon system has a linear collective mode if and only if {ital q} is greater than twice the largest common factor of {ital p} and {ital n}. The collective mode dispersion, {omega}({bold k}), is calculated numerically for {ital n}=1 (hard-core bosons) and {ital n}=2 (semions) at certain densities.
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