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Universality in p-spin glasses with correlated disorder

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons49233

Smerlak,  Matteo
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1206.5539
(Preprint), 157KB

JoStatMech_2013_02_L02003.pdf
(Any fulltext), 324KB

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Citation

Bonzom, V., Gurau, R., & Smerlak, M. (2013). Universality in p-spin glasses with correlated disorder. Journal of Statistical Mechanics: Theory and Experiment, 2013: L02003. doi:10.1088/1742-5468/2013/02/L02003.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000E-E9D9-F
Abstract
We introduce a new method, based on the recently developed random tensor theory, to study the p-spin glass model with non-Gaussian, correlated disorder. Using a suitable generalization of Gurau's theorem on the universality of the large N limit of the p-unitary ensemble of random tensors, we exhibit an infinite family of such non-Gaussian distributions which leads to same low temperature phase as the Gaussian distribution. While this result is easy to show (and well known) for uncorrelated disorder, its robustness with respect to strong quenched correlations is surprising. We show in detail how the critical temperature is renormalized by these correlations. We close with a speculation on possible applications of random tensor theory to finite-range spin glass models.