TY - JOUR
T1 - Griffiths inequalities for the Gaussian spin glass
AU - Morita, Satoshi
AU - Nishimori, Hidetoshi
AU - Contucci, Pierluigi
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2004/5/7
Y1 - 2004/5/7
N2 - The Griffiths inequalities for Ising spin-glass models with Gaussian randomness of non-vanishing mean are proved using properties of the Gaussian distribution and gauge symmetry of the system. These inequalities imply that correlation functions are non-negative and monotonie along the Nishimori line in the phase diagram. From this result, the existence of thermodynamic limit for correlation functions and pressure is proved under free and fixed boundary conditions. Relations between the location of multicritical points are also derived for different lattices.
AB - The Griffiths inequalities for Ising spin-glass models with Gaussian randomness of non-vanishing mean are proved using properties of the Gaussian distribution and gauge symmetry of the system. These inequalities imply that correlation functions are non-negative and monotonie along the Nishimori line in the phase diagram. From this result, the existence of thermodynamic limit for correlation functions and pressure is proved under free and fixed boundary conditions. Relations between the location of multicritical points are also derived for different lattices.
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U2 - 10.1088/0305-4470/37/18/L03
DO - 10.1088/0305-4470/37/18/L03
M3 - Article
AN - SCOPUS:2442712611
VL - 37
SP - L203-L209
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 18
ER -