An explicit realization of fractional statistics in one dimension

Abstract

An explicit realization of anyons is provided, using the three-body Calogero model. The fact that in the coupling domain, $-1/4<g<0$, the angular spectrum can have a band structure, leads to the manifestation of the desired phase in the wave function, under the exchange of the paticles. Concurrently, the momentum corresponding to the angular variable is quantized, exactly akin to the relative angular momentum quantization in two dimensional anyonic system

12 pages

References in corpus (14)

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Cited by in corpus (4)

• Anyons from Three-Body Hard-Core Interactions in One Dimension
• Topological Exchange Statistics in One Dimension
• Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension
• Heisenberg Symmetry and Collective Modes of One Dimensional Unitary Correlated Fermions