Some properties of frustrated spin systems: extensions and applications of Lieb-Schupp approach

Abstract

Lieb and Schupp have obtained, using certain version of ``spin-reflection positivity'' method, a number of ground-state properties for frustrated Heisenberg models. One group of these results is related to singlet nature of ground state and it needs an assumption of reflection symmetry present in the system. In this paper, it is shown that the result holds also for other symmetries (inversion etc.). The second Lieb-Schupp result is relation between ground-state energies of certain systems. In the paper, this relation is applied to multidimensional models on various lattices.

arXiv comment15 pages, 8 eps figures, revtex 4

References in corpus (3)

• Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems
• Ground state properties of a fully frustrated quantum spin system
• Singlets and reflection symmetric spin systems

Cited by in corpus (4)

• Quantum Monte Carlo scheme for frustrated Heisenberg antiferromagnets
• Operator reflection positivity inequalities and their applications to interacting quantum rotors
• Inequalities between ground-state energies of Heisenberg models
• Extension of the Lieb-Schupp theorem to the Heisenberg models with higher order interactions