Sign Rules for Anisotropic Quantum Spin Systems

Details Sign Rules for Anisotropic Quantum Spin Systems Sign Rules for Anisotropic Quantum Spin Systems

1999-02-16

arxiv.org/abs/cond-mat/9902219v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 ps-figure

Scientific paper

10.1103/PhysRevB.61.6775

We present new and exact ``sign rules'' for various spin-s anisotropic spin-lattice models. It is shown that, after a simple transformation which utilizes these sign rules, the ground-state wave function of the transformed Hamiltonian is positive-definite. Using these results exact statements for various expectation values of off-diagonal operators are presented, and transitions in the behavior of these expectation values are observed at particular values of the anisotropy. Furthermore, the effects of sign rules in variational calculations and quantum Monte Carlo calculations are considered. They are illustrated by a simple variational treatment of a one-dimensional anisotropic spin model.

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