Novel correlations in two dimensions: Some exact solutions
arXiv:cond-mat/9603155 · doi:10.1103/PhysRevLett.76.4103
Abstract
We construct a new many-body Hamiltonian with two- and three-body interactions in two space dimensions and obtain its exact many-body ground state for an arbitrary number of particles. This ground state has a novel pairwise correlation. A class of exact solutions for the excited states is also found. These excited states display an energy spectrum similar to the Calogero-Sutherland model in one dimension. The model reduces to an analog of the well-known trigonometric Sutherland model when projected on to a circular ring.
8 pages, REVTEX
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Cited by in corpus (18)
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