We perform a rigorous computation of the specific heat of the Ashkin-Teller model in the case of small interaction and we explain how the universality-nonuniversality crossover is realized when the isotropic limit is reached. We prove that, even in the region where universality for the specific heat holds, anomalous critical exponents appear: for instance, we predict the existence of a previously unknown anomalous exponent, continuously varying with the strength of the interaction, describing how the difference between the critical temperatures rescales with the anisotropy parameter.

Giuliani, A., Mastropietro, V. (2004). Anomalous critical exponents in the anisotropic Ashkin-Teller model. PHYSICAL REVIEW LETTERS, 93(19), 190603 [10.1103/PhysRevLett.93.190603].

Anomalous critical exponents in the anisotropic Ashkin-Teller model

MASTROPIETRO, VIERI
2004-01-01

Abstract

We perform a rigorous computation of the specific heat of the Ashkin-Teller model in the case of small interaction and we explain how the universality-nonuniversality crossover is realized when the isotropic limit is reached. We prove that, even in the region where universality for the specific heat holds, anomalous critical exponents appear: for instance, we predict the existence of a previously unknown anomalous exponent, continuously varying with the strength of the interaction, describing how the difference between the critical temperatures rescales with the anisotropy parameter.
2004
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
Anisotropy; Approximation theory; Computational methods; Degrees of freedom (mechanics); Electron diffraction; Fermions; Free energy; Hamiltonians; Integral equations; Lattice constants; Mathematical models; Monte Carlo methods; Perturbation techniques; Phase transitions; Thermal effects; Thermodynamics; Anisotropy parameters; Ashkin-Teller model; Coupling constants; Critical temperatures; Specific heat
http://prl.aps.org/abstract/PRL/v93/i19/e190603
Giuliani, A., Mastropietro, V. (2004). Anomalous critical exponents in the anisotropic Ashkin-Teller model. PHYSICAL REVIEW LETTERS, 93(19), 190603 [10.1103/PhysRevLett.93.190603].
Giuliani, A; Mastropietro, V
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/25790
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