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.

Universal Relations for Nonsolvable Statistical Models / Benfatto, G.; Falco, P.; Mastropietro, V.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 104:7(2010). [10.1103/PhysRevLett.104.075701]

Universal Relations for Nonsolvable Statistical Models

V. Mastropietro
2010

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.
2010
01 Pubblicazione su rivista::01a Articolo in rivista
Universal Relations for Nonsolvable Statistical Models / Benfatto, G.; Falco, P.; Mastropietro, V.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 104:7(2010). [10.1103/PhysRevLett.104.075701]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1720784
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