Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension
Sebastian Nagies,
Botao Wang,
Adam C. Knapp
et al.
Abstract:Anyons obeying fractional exchange statistics arise naturally in two dimensions: Hard-core two-body constraints make the configuration space of particles not simply-connected. The braid group describes how topologically-inequivalent exchange paths can be associated to non-trivial geometric phases for abelian anyons. Braid-anyon exchange statistics can also be found in one dimension (1D), but this requires broken Galilean invariance to distinguish different ways for two anyons to exchange. However, recently it … Show more
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