We consider two bidimensional Ising models coupled by an interaction quartic in the spins, like in the spin representation of the Eight vertex or the Ashkin-Teller model. By Renormalization Group methods we write a convergent perturbative expansion for the specific heat and for the energy-energy correlation up to the critical temperature. A form of nonuniversality is proved, in the sense that the critical behaviour is described in terms of critical indices which are non trivial functions of the coupling. The logarithmic singularity of the specific heat of the Ising model is removed or changed in a power law (with a non universal critical index) depending on the sign of the interaction.

Mastropietro, V. (2004). Ising models with four spin interaction at criticality. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 244(3), 595-642 [10.1007/s00220-003-1008-0].

Ising models with four spin interaction at criticality

MASTROPIETRO, VIERI
2004-01-01

Abstract

We consider two bidimensional Ising models coupled by an interaction quartic in the spins, like in the spin representation of the Eight vertex or the Ashkin-Teller model. By Renormalization Group methods we write a convergent perturbative expansion for the specific heat and for the energy-energy correlation up to the critical temperature. A form of nonuniversality is proved, in the sense that the critical behaviour is described in terms of critical indices which are non trivial functions of the coupling. The logarithmic singularity of the specific heat of the Ising model is removed or changed in a power law (with a non universal critical index) depending on the sign of the interaction.
2004
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
QUANTUM-FIELD-THEORY; RENORMALIZATION-GROUP; FERMI-SURFACE; CRITICAL EXPONENTS; LUTTINGER MODEL; ASHKIN-TELLER; ONE-DIMENSION; BETA-FUNCTION; SYSTEM; UNIVERSALITY
http://www.springerlink.com/content/tl2wrng54qh1xy3d/
Mastropietro, V. (2004). Ising models with four spin interaction at criticality. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 244(3), 595-642 [10.1007/s00220-003-1008-0].
Mastropietro, V
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/25789
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