Seminarium Fizyki Materii Skondensowanej

The Lieb-Schupp inequality is a matrix inequality, which allows to relate ground state energies of certain antiferromagnetic systems. In my talk, I will state this inequality and present numerical values for certain Heisenberg antiferromagnetic systems (chains, ladders and quasi-2d systems). I will discuss observed relation of fall-off of spin correlations with saturation of L-S inequality in considered systems. I plan also to mention possible relation of L-S inequality with properties of (analogon of) solvation force in quantum spin systems. (Talk is based on joint work with R. Skolasinski).