Sriram Shastry, B. (1992) Taking the square root of the discrete 1/r2 model Physical Review Letters, 69 (1). pp. 164-167. ISSN 0031-9007
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Official URL: http://prl.aps.org/abstract/PRL/v69/i1/p164_1
Related URL: http://dx.doi.org/10.1103/PhysRevLett.69.164
Abstract
We exhibit a factorization of the exactly solvable discrete 1/r2 exchange Heisenberg model. We express the Hamiltonian of the model on a lattice of L sites, as a sum over the squares of L operators in eight distinct ways, using the eight generators of the SU(3) group, and demonstrate that each of the 8 L operators annihilate the Gutzwiller wave function. The wave function is thus proven to be the exact ground state of the 1/r2 model, and we also provide a scheme for the construction of an infinite number of Hamiltonians for which it is the ground state.
Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |
ID Code: | 50913 |
Deposited On: | 27 Jul 2011 13:18 |
Last Modified: | 18 May 2016 05:03 |
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