Fractional Quantum Hall Effect States as Exact Ground States

Details Fractional Quantum Hall Effect States as Exact Ground States Fractional Quantum Hall Effect States as Exact Ground States

1997-03-25

arxiv.org/abs/cond-mat/9703217v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Several changes, particularly in interpretation

Scientific paper

10.1142/S0217979298000612

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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