Exact Analytic Results for Composite Fermions in a Rajaraman–Sondhi Like Formulation
Keyword(s):
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.
1991 ◽
Vol 06
(30)
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pp. 2819-2826
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2013 ◽
Vol 483
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pp. 170-173
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1993 ◽
Vol 08
(33)
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pp. 3173-3185
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1991 ◽
Vol 05
(10)
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pp. 1675-1684
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2008 ◽
Vol 22
(12)
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pp. 1923-1932
2007 ◽
Vol 21
(31)
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pp. 5265-5274
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