Exact Analytic Results for Composite Fermions in a Rajaraman-Sondhi like formulation
Mesoscale and Nanoscale Physics
2015-06-25 v2
Abstract
We obtain the exact spectrum and the unique ground state of two composite fermions (in a Rajaraman - Sondhi like formulation) in an external magnetic field . We show that the energy eigenvalues decrease with increasing angular momentum, thus making it energetically favourable for composite fermions to stay apart. Generalising this result to a gas of composite fermions, we provide an energetic justification of the Laughlin and Jain wave-functions.
Keywords
Cite
@article{arxiv.cond-mat/9712274,
title = {Exact Analytic Results for Composite Fermions in a Rajaraman-Sondhi like formulation},
author = {Sumathi Rao},
journal= {arXiv preprint arXiv:cond-mat/9712274},
year = {2015}
}
Comments
Technical error corrected