Universal Relations for Non Solvable Statistical Models

Details Universal Relations for Non Solvable Statistical Models Universal Relations for Non Solvable Statistical Models

2009-09-15

arxiv.org/abs/0909.2707v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, no figure, letter

Scientific paper

We present the first rigorous derivation of a number of universal relations for a class of models with continuously varying indices (among which are interacting planar Ising models, quantum spin chains and 1D Fermi systems), for which an exact solution is not known, except in a few special cases. Most of these formulas were conjectured by Luther and Peschel, Kadanoff, Haldane, but only checked in the special solvable models; one of them, related to the anisotropic Ashkin-Teller model, is novel.

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