Physics – Condensed Matter
Scientific paper
1996-03-25
Phys.Rev.Lett. 76 (1996) 4103-4106
Physics
Condensed Matter
8 pages, REVTEX
Scientific paper
10.1103/PhysRevLett.76.4103
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.
Bhaduri Rajat K.
Murthy M. V. N.
Sen Diptiman
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