4.6 Article

Haake-Lewenstein-Wilkens approach to spin-glasses revisited

Journal

Publisher

IOP Publishing Ltd
DOI: 10.1088/1751-8121/ac9d10

Keywords

Edwards-Anderson order parameter; Haake-Lewenstein-Wilkens approach; spin glass; Saddle Point; Steppest Descend method

Funding

  1. ERC AdG NOQIA
  2. 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]
  3. European Union NextGenerationEU (PRTR)
  4. Fundacio Cellex
  5. Fundacio Mir-Puig
  6. Generalitat de Catalunya (European Social Fund FEDER)
  7. Generalitat de Catalunya (CERCA program (AGAUR) - ERDF Operational Program of Catalonia 2014-2020) [2017 SGR 134, QuantumCAT U16-011424]
  8. Barcelona Supercomputing Center MareNostrum [FI-2022-1-0042]
  9. EU Horizon 2020 FET-OPEN OPTOlogic [899794]
  10. National Science Centre, Poland [2016/20/W/ST4/00314]
  11. European Union [101029393, 847648, ID100010434: LCF/BQ/PI19/11690013, LCF/BQ/PI20/11760031, LCF/BQ/PR20/11770012, LCF/BQ/PR21/11840013]
  12. Generalitat de Catalunya
  13. Spanish Ministry of Education and Professional Training (MEFP) through the Beatriz Galindo program 2018 [BEAGAL18/00203]

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The study revisited the approach to the Edwards-Anderson model by evaluating and analyzing the probability distribution of configurations of two replicas of the system, generating squares of thermal copies of spin variables from the two copies of the systems.
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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