5,511 research outputs found
Fractional Quantum Hall Effect States as Exact Ground States
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.Comment: Several changes, particularly in interpretatio
- …