Anyon exciton revisited: Exact solutions for a few-particle system

Abstract

The anyon exciton model is generalized to the case of a neutral exciton consisting of a valence hole and an arbitrary number N of fractionally-charged quasielectrons (anyons). A complete set of exciton basis functions is obtained and these functions are classified using a result from the theory of partitions. Expressions are derived for the inter-particle interaction matrix elements of a six-particle system (N=5), which describes an exciton against the background of an incompressible quantum liquid with filling factor 2/5. Several exact results are obtained in a boson approximation, including the binding energy of a (N+1)-particle exciton with zero in-plane momentum and zero internal angular momentum.

arXiv comment12 pages, 1 figure

References in corpus (2)

• Charged exctions in the fractional quantum Hall regime
• Theory of anyon excitons: Relation to excitons of nu=1/3 and nu=2/3 incompressible liquids

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