Singlets and reflection symmetric spin systems

Abstract

We rigorously establish some exact properties of reflection symmetric spin systems with antiferromagnetic crossing bonds: At least one ground state has total spin zero and a positive semidefinite coefficient matrix. The crossing bonds obey an ice rule. This augments some previous results which were limited to bipartite spin systems and is of particular interest for frustrated spin systems.

11 pages, LaTeX 2e

References in corpus (1)

• Ground state properties of a fully frustrated quantum spin system

Cited by in corpus (8)

• Bose-Einstein Quantum Phase Transition in an Optical Lattice Model
• The ordering of energy levels for SU(n) symmetric antiferromagnetic chains
• Energy-level ordering and ground-state quantum numbers for frustrated two-leg spin-1/2 ladder model
• Ordering of Energy Levels for Extended SU(N) Hubbard Chain
• Some properties of frustrated spin systems: extensions and applications of Lieb-Schupp approach
• Quantum Monte Carlo scheme for frustrated Heisenberg antiferromagnets
• Inequalities between ground-state energies of Heisenberg models
• Extension of the Lieb-Schupp theorem to the Heisenberg models with higher order interactions