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Haake-Lewenstein-Wilkens approach to spin-glasses revisited

  • We revisit the Haake-Lewenstein-Wilkens approach to Edwards-Anderson (EA) model of Ising spin glass (SG) (Haake et al 1985 Phys. Rev. Lett. 55 2606). This approach consists in evaluation and analysis of the probability distribution of configurations of two replicas of the system, averaged over quenched disorder. This probability distribution generates squares of thermal copies of spin variables from the two copies of the systems, averaged over disorder, that is the terms that enter the standard definition of the original EA order parameter, qEA 0 0

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Author details:Maciej LewensteinORCiD, David CirauquiORCiD, Miguel Angel Garcia-MarchORCiD, Guillem Guigo Corominas, Przemyslaw GrzybowskiORCiD, Jose R. M. Saavedra, Martin WilkensORCiD, Jan Wehr
DOI:https://doi.org/10.1088/1751-8121/ac9d10
ISSN:1751-8113
ISSN:1751-8121
Title of parent work (English):Journal of physics : A, Mathematical and theoretical
Publisher:IOP Publ. Ltd.
Place of publishing:Bristol
Publication type:Article
Language:English
Date of first publication:2022/11/11
Publication year:2022
Release date:2023/11/13
Tag:Edwards-Anderson order parameter; Haake-Lewenstein-Wilkens approach; Saddle Point; Steppest Descend method; spin glass
Volume:55
Issue:45
Article number:454002
Number of pages:20
Funding institution:ERC AdG NOQIA; Ministerio de Ciencia y Innovation Agencia Estatal de; Investigaciones [PGC2018-097027-B-I00, CEX2019-000910-S,; PID2019-106901GBI00, PCI2019-111828-2, PCI2022132919, RTC2019-007196-7];; European Union NextGenerationEU (PRTR); Fundacio Cellex; Fundacio; Mir-Puig; Generalitat de Catalunya (European Social Fund FEDER);; Generalitat de Catalunya (CERCA program (AGAUR) - ERDF Operational; Program of Catalonia 2014-2020) [2017 SGR 134, QuantumCAT U16-011424];; Barcelona Supercomputing Center MareNostrum [FI-2022-1-0042]; EU Horizon; 2020 FET-OPEN OPTOlogic [899794]; National Science Centre, Poland; [2016/20/W/ST4/00314]; European Union [101029393, 847648, ID100010434:; LCF/BQ/PI19/11690013, LCF/BQ/PI20/11760031, LCF/BQ/PR20/11770012,; LCF/BQ/PR21/11840013]; Generalitat de Catalunya; Spanish Ministry of; Education and Professional Training (MEFP) through the Beatriz Galindo; program 2018 [BEAGAL18/00203]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
DDC classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Peer review:Referiert
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