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Inequalities between ground-state energies of Heisenberg models

The Lieb-Schupp inequality is the inequality between ground state en- ergies 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.

preprint2014arXivOpen access
Jacek WojtkiewiczRafał Skolasiński
cond-mat.str-elmath-phmath.MP
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Jacek WojtkiewiczRafał Skolasiński

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