Debashish Chowdhury's critical review of more than a thousand papers not only identifies the complexities involved in the theoretical understanding of the real spin glasses but also …
Different kinds of mean-field theories (MFT) of spin glasses (SG) are reviewed. A brief introductory review of major experimental results, which have to be explained theoretically …
H Sharma, UT Bhosale - arXiv preprint arXiv:2307.14122, 2023 - arxiv.org
Earlier studies have given enough evidence in support of the BGS conjecture, with few exceptions violating it. Here, we provide one more counterexample using a many-body …
We study the static as well as the glassy or dynamical transition in the mean-field p-state Potts glass. By numerical solution of the saddle-point equations we investigate the static and …
PM Goldbart, D Sherrington - Journal of Physics C: Solid State …, 1985 - iopscience.iop.org
The authors construct the replica mean-field theory of a set of m-dimensional uniaxial quadrupoles interacting via quenched random exchange with non-zero mean. Replica …
D Elderfield, D Sherrington - Journal of Physics C: Solid State …, 1983 - iopscience.iop.org
Ergodicity-breaking is stronger in a general p-state Potts than a conventional spin glass. Parisi and Sompolinsky treatments of such breaking are found to be non-equivalent for p> 4 …
G Cwilich, TR Kirpatrick - Journal of Physics A: Mathematical and …, 1989 - iopscience.iop.org
A short-range Potts spin glass is studied. A stable, non-marginal, mean-field theory is found with one level of replica symmetry breaking and a discontinuous transition for p> 4. A …
In this paper, we study the fluctuation problems at high temperature in the general mixed $ p $-spin glass models under the weak external field assumption: $ h=\rho N^{-\alpha},\rho> …
SR Shenoy, T Lookman - Physical Review B—Condensed Matter and …, 2008 - APS
We consider a spin-1 model of strain pseudospins S (r ⃗)= 0,±1 that arise from a triple-well Landau free energy for a square/rectangle or “austenite-martensite” structural transformation …