Absence of replica symmetry breaking in disordered FKG-Ising models under uniform field

DOI10.1063/1.5131685zbMath1454.82005arXiv1910.03776OpenAlexW3102927124MaRDI QIDQ5140973

Y. Utsunomiya, Chigak Itoi

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03776

zbMATH Keywords

Fortuin-Kasteleyn-Ginibre inequalitydisordered Ising modelsGaussian random field Ising model

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

On the ultrametricity property in random field Ising models

Cites Work

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• Correlation inequalities on some partially ordered sets
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• The Parisi formula
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• No spin glass phase in the ferromagnetic random-field random-temperature scalar Ginzburg–Landau model
• General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
• Perspectives on Spin Glasses
• No replica symmetry breaking phase in the random field Ginzburg-Landau model
• Correlation inequalities for quantum spin systems with quenched centered disorder
• Mean Field Models for Spin Glasses

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