Universal Relations for Nonsolvable Statistical Models
Authors:
- G. BenfattoGBG. Benfatto
- P. FalcoPFP. Falco
- V. MastropietroVMV. Mastropietro
- 16 February 2010
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 104 (7) , 075701
Abstract
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, and Haldane, but only checked in the special solvable models; one of them, related to the anisotropic Ashkin-Teller model, is novel.Keywords
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