Variational calculation for the spin-(½ Heisenberg antiferromagnet on a square lattice

Dasgupta, Chandan (1989) Variational calculation for the spin-(½ Heisenberg antiferromagnet on a square lattice Physical Review B, 39 (1). pp. 386-391. ISSN 0163-1829

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Official URL: http://prb.aps.org/abstract/PRB/v39/i1/p386_1

Related URL: http://dx.doi.org/10.1103/PhysRevB.39.386

Abstract

The ground-state properties of the spin-(½Heisenberg antiferromagnet on a square lattice are studied by using a simple variational wave function that interpolates continuously between the Neel state and short-range resonating-valence-bond states. Exact calculations of the variational energy for small systems show that the state with the lowest energy has long-range antiferromagnetic order. The staggered magnetization in this state is approximately 70% of its maximum possible value. The variational estimate of the ground-state energy is substantially lower than the value obtained for the nearest-neighbor resonating-valence-bond wave function.

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