arXiv:cond-mat/9712274 Abstract

arXiv:cond-mat/9712274Abstract References Reviews Resources

Exact Analytic Results for Composite Fermions in a Rajaraman-Sondhi like formulation

Published 1997-12-23, updated 1997-12-25Version 2

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 $B$. 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.

Comments: Technical error corrected

DOI: 10.1142/S0217984998001426

Categories: cond-mat.mes-hall

Keywords: composite fermions, exact analytic results, formulation, rajaraman-sondhi, unique ground state

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