Fractional Quantum Hall Effect States as Exact Ground States
Mesoscale and Nanoscale Physics
2009-10-30 v2
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.
Keywords
Cite
@article{arxiv.cond-mat/9703217,
title = {Fractional Quantum Hall Effect States as Exact Ground States},
author = {Ranjan K. Ghosh and Sumathi Rao},
journal= {arXiv preprint arXiv:cond-mat/9703217},
year = {2009}
}
Comments
Several changes, particularly in interpretation