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  Universality in p-spin glasses with correlated disorder

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-E9D9-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-E9DA-D
Genre: Journal Article

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1206.5539 (Preprint), 157KB
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 Creators:
Bonzom, Valentin, Author
Gurau, Razvan, Author
Smerlak, Matteo1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:67201              

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Free keywords: Condensed Matter, Disordered Systems and Neural Networks, cond-mat.dis-nn
 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.

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 Dates: 2012-06-242012-12-092013
 Publication Status: Published in print
 Pages: 5
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1206.5539
DOI: 10.1088/1742-5468/2013/02/L02003
URI: http://arxiv.org/abs/1206.5539
 Degree: -

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Title: Journal of Statistical Mechanics: Theory and Experiment
Source Genre: Journal
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Publ. Info: Bristol, England : Institute of Physics Publishing
Pages: - Volume / Issue: 2013 Sequence Number: L02003 Start / End Page: - Identifier: ISSN: 1742-5468
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111076098244006