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Fractional Quantum Hall Effect States as Exact Ground States

Ranjan K. Ghosh·Sumathi Rao
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Abstract

We construct many particle Hamiltonians for which the Laughlin and Jain wavefunctions are exact ground states. The Hamiltonians involve fermions in a magnetic field and with inter-particle interactions. For the Laughlin wave-functions,the interactions involve two- and three-body correlations similar to the Chern-Simons interactions, whereas for the projected Jain wave-functions, N-body interactions (which cannot be explicitly written down in general) are involved.

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Ranjan K. Ghosh, Sumathi Rao. 1997-06-09. Fractional Quantum Hall Effect States as Exact Ground States. https://doi.org/10.1142/s0217979298000612

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