Sign rules for anisotropic quantum spin systems

R. F. Bishop, D. J J Farnell, J. B. Parkinson

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Abstract

We present 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 importance of such sign rules in variational calculations and quantum Monte Carlo calculations is emphasized. This is illustrated by a simple variational treatment of a one-dimensional anisotropic spin model.
Original languageEnglish
Pages (from-to)6775-6779
Number of pages5
JournalPhysical Review B (Condensed Matter and Materials Physics)
Volume61
DOIs
Publication statusPublished - 2000

Keywords

  • MATRIX RENORMALIZATION-GROUP; MONTE-CARLO; STATE

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