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

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

2004-10-11

arxiv.org/abs/cond-mat/0410244v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 8 eps figures, revtex 4

Scientific paper

10.1140/epjb/e2005-00150-3

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.

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