Inequalities between ground-state energies of Heisenberg models

Jacek Wojtkiewicz and Rafał Skolasiński

Physica A: Statistical Mechanics and its Applications, 2015, vol. 419, issue C, 134-144

Abstract: The Lieb–Schupp inequality is the inequality between ground state energies of certain antiferromagnetic Heisenberg spin systems. In our paper, the numerical value of energy difference given by Lieb–Schupp inequality has been tested for spin systems in various geometries: chains, ladders and quasi-two-dimensional lattices. It turned out that this energy difference was strongly dependent on the class of the system. The relation between this difference and a fall-off of a correlation function has been empirically found and formulated as a conjecture.

Keywords: Heisenberg model; Quantum spin systems; Matrix inequalities; Exact diagonalization; Density matrix renormalization group (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:419:y:2015:i:c:p:134-144

DOI: 10.1016/j.physa.2014.09.042

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