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

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

1997-12-23

arxiv.org/abs/cond-mat/9712274v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Technical error corrected

Scientific paper

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.

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