On absence of disorder chaos for spin glasses on \(\mathbb{Z}^d \)

DOI10.1214/20-ECP311zbMath1434.82038arXiv1909.09860OpenAlexW3019104552MaRDI QIDQ2183134

Jack Hanson, Louis-Pierre Arguin

Publication date: 26 May 2020

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.09860

zbMATH Keywords

spin glassesdisorder chaos

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Cites Work

• Disorder chaos in the Sherrington-Kirkpatrick model with external field
• Disorder chaos in the spherical mean-field model
• Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical mixed \(p\)-spin models
• Uniqueness of ground states for short-range spin glasses in the half-plane
• Rounding effects of quenched randomness on first-order phase transitions
• On the energy landscape of the mixed even \(p\)-spin model
• Disorder chaos in some diluted spin Glass models
• Uniqueness and non-uniqueness for spin-glass ground states on trees
• No percolation in low temperature spin glass
• A relation between disorder chaos and incongruent states in spin glasses on \({\mathbb{Z}^d}\)
• On the number of ground states of the Edwards-Anderson spin glass model
• Superconcentration and Related Topics
• Are there incongruent ground states in 2D Edwards-Anderson spin glasses?

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