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On the anyon description of the Laughlin hole states

arXiv:cond-mat/9606214 · doi:10.1142/S0217751X97001250

Abstract

We examine the anyon representation of the Laughlin quasi-holes, in particular the one-dimensional, algebraic aspects of the representation. For the cases of one and two quasi-holes an explicit mapping to anyon systems is given, and the connection between the hole-states and coherent states of the fundamental algebras of observables is examined. The quasi-electron case is discussed more briefly, and some remaining questions are pointed out.

27 pages, LaTex