Exact analytic results for composite fermions in a Rajaraman–Sondhi like formulation

Rao, Sumathi (1998) Exact analytic results for composite fermions in a Rajaraman–Sondhi like formulation Modern Physics Letters B, 12 (29n30). pp. 1203-1208. ISSN 0217-9849

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Official URL: http://www.worldscientific.com/doi/abs/10.1142/S02...

Related URL: http://dx.doi.org/10.1142/S0217984998001426

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 B. We show that the energy eigenvalues decrease with increasing angular momentum, thus making it energetically favourable for composite fermions to stay apart. Generalizing this result to a gas of composite fermions, we provide an energetic justification of the Laughlin and Jain wave-functions.

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