Chaos in spin glasses: A renormalization-group study

1987 ◽  
Vol 35 (16) ◽  
pp. 8888-8890 ◽  
Author(s):  
Jayanth R. Banavar ◽  
Alan J. Bray
1988 ◽  
Vol 37 (13) ◽  
pp. 7745-7750 ◽  
Author(s):  
Jian-Sheng Wang ◽  
Robert H. Swendsen

1988 ◽  
Vol 38 (4) ◽  
pp. 2564-2569 ◽  
Author(s):  
Jayanth R. Banavar ◽  
Alan J. Bray

2001 ◽  
Vol 16 (11) ◽  
pp. 2111-2117
Author(s):  
F. ROSATI

A renormalization group transformation suitable for spin glasses, and more generally for disordered systems, is presented. The approach is non-standard for two reasons. 1. The coarse graining transformation is performed on the distribution of site overlaps, which clearly is not a Boltzmann-Gibbs distribution. 2. The additional interactions are realized introducing a gauge-field disorder distribution, while the Hamiltonian is kept fixed. Universality classes are thus naturally defined on a large set of models, going from ℤ2 and Gaussian spin glasses to Ising and fully frustrated models, and others. The role of frustration and of the deconfinement transition can also be analysed in terms of fixed points. The proposed analysis is tested numerically on the ℤ2 Edwards-Anderson model in d=4. Good estimates of the critical index ν and of Tc are obtained, and an RG flow diagram is sketched for the first time.


1988 ◽  
Vol 37 (10) ◽  
pp. 5877-5879 ◽  
Author(s):  
M. A. Continentino ◽  
Suzana M. de Oliveira

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