Short-range Potts spin-glass model: Renormalization-group method

1996 ◽  
Vol 53 (13) ◽  
pp. 8215-8218 ◽  
Author(s):  
A. Benyoussef ◽  
M. Loulidi
Keyword(s):  
Renormalization Group ◽  
Spin Glass ◽  
Short Range ◽  
Group Method ◽  
Renormalization Group Method ◽  
Spin Glass Model ◽  
Glass Model

scholarly journals EXACT RENORMALIZATION GROUP AND MANY-FERMION SYSTEMS

2005 ◽  
Vol 20 (02n03) ◽  
pp. 596-598 ◽  
Author(s):  
B. KRIPPA ◽  
M. C. BIRSE ◽  
J. A. MCGOVERN ◽  
N. R. WALET
Keyword(s):  
Phase Transition ◽  
Renormalization Group ◽  
Short Range ◽  
Numerical Solutions ◽  
Scattering Length ◽  
Group Method ◽  
Renormalization Group Method ◽  
Flow Equations ◽  
Fermion Systems ◽  
Exact Renormalization Group

The exact renormalization group method is applied to many-fermion systems with short-range attractive forces. The strength of the attractive fermion-fermion interaction is determined from the vacuum scattering length. A set of approximate flow equations is derived including fermionic bosonic fluctations. The numerical solutions show a phase transition to a gapped phase. The inclusion of bosonic fluctuations is found to be significant only in the small-gap regime.

Short-range spin-glass model with discrete bonds

1983 ◽  
Vol 27 (9) ◽  
pp. 5747-5760 ◽  
Author(s):  
Zs. Gulácsi ◽  
M. Gulácsi ◽  
M. Crişan
Keyword(s):  
Spin Glass ◽  
Short Range ◽  
Spin Glass Model ◽  
Glass Model

scholarly journals Spin-glass model with essential short-range competing interactions

2005 ◽  
Vol 8 (3) ◽  
pp. 603 ◽  
Author(s):  
Sorokov ◽  
Levitskii ◽  
Vdovych
Keyword(s):  
Spin Glass ◽  
Short Range ◽  
Spin Glass Model ◽  
Competing Interactions ◽  
Glass Model

scholarly journals ABOUT THE OVERLAP DISTRIBUTION IN MEAN FIELD SPIN GLASS MODELS

1996 ◽  
Vol 10 (13n14) ◽  
pp. 1675-1684 ◽  
Author(s):  
FRANCESCO GUERRA
Keyword(s):  
Spin Glass ◽  
Order Parameter ◽  
Short Range ◽  
Mean Field ◽  
Spin Glass Model ◽  
Replica Symmetry ◽  
Replica Symmetry Breaking ◽  
Full Agreement ◽  
Rigorous Results ◽  
Glass Model

We continue our presentation of mathematically rigorous results about the Sherrington-Kirkpatrick mean field spin glass model. Here we establish some properties of the distribution of overlaps between real replicas. They are in full agreement with the Parisi accepted picture of spontaneous replica symmetry breaking. As a byproduct, we show that the self-averaging of the Edwards-Anderson fluctuating order parameter, with respect to the external quenched noise, implies that the overlap distribution is given by the Sherrington-Kirkpatrick replica symmetric Ansatz. This extends previous results of Pastur and Scherbina. Finally, we show how to generalize our results to realistic short range spin glass models.

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