Anyon exciton revisited: Exact solutions for a few-particle system
Mesoscale and Nanoscale Physics
2009-11-10 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/0306441,
title = {Anyon exciton revisited: Exact solutions for a few-particle system},
author = {D. G. W. Parfitt and M. E. Portnoi},
journal= {arXiv preprint arXiv:cond-mat/0306441},
year = {2009}
}
Comments
12 pages, 1 figure