Anyons beyond the plane

Details Anyons beyond the plane Anyons beyond the plane

1995-03-30

arxiv.org/abs/cond-mat/9503160v1

Phys.Rev. B52 (1995) 16096

Physics

Condensed Matter

14 pages, LATEX, 2 Postscript figures available upon request to mash@phys.unit.no

Scientific paper

10.1103/PhysRevB.52.16096

We consider particles in three-dimensional space, which have a certain probability to find themselves in a thin layer (``plane''), where they are assumed to be well described by a planar Hamiltonian and are subject to Aharonov-Bohm-type interaction. We demonstrate that their planar motion is then anyonlike, with the ``effective statistical parameter'' proportional essentially to the square of the probability. We also show that charge-flux composites with solenoids of finite length, provided they are themselves fermions, can form a bound state in which they behave like anyons, without any external potential confining them to a plane.

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