Fractional quantum hall effect states as exact ground states

Ghosh, Ranjan Kumar ; Rao, Sumathi (1998) Fractional quantum hall effect states as exact ground states International Journal of Modern Physics B, 12 (11). pp. 1125-1134. ISSN 0217-9792

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

Related URL: http://dx.doi.org/10.1142/S0217979298000612

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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