Dimensional Reduction of Two-Dimensional Anyons to a One-Dimensional Interacting Bose Gas

Physics – Condensed Matter

Scientific paper

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8 pages, plain TeX, no figures

Scientific paper

We conjecture that a two-dimensional anyon system reduces, when confined to a
narrow channel, to a one-dimensional bose gas with a repulsive two-body
$\delta$-function interaction. We verify this conjecture in first-order
perturbation theory near bosons. If the channel width is reduced to zero, the
one-dimensional system is fermionic for all anyons other than bosons.

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