Are there incongruent ground states in 2D Edwards-Anderson spin glasses?

DOI10.1007/PL00005586zbMath1051.82013arXivcond-mat/0103395MaRDI QIDQ5956070

Daniel L. Stein, Charles M. Newman

Publication date: 2001

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0103395

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Percolation (82B43)

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Uniqueness of translation-covariant zero-temperature metastate in disordered Ising ferromagnets ⋮ Zero-temperature fluctuations in short-range spin glasses ⋮ Uniqueness of ground states for short-range spin glasses in the half-plane ⋮ On absence of disorder chaos for spin glasses on \(\mathbb{Z}^d \) ⋮ On the number of ground states of the Edwards-Anderson spin glass model ⋮ Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman ⋮ Metastates in mean-field models with random external fields generated by Markov chains ⋮ Ground state stability in two spin glass models ⋮ Thermodynamics and universality for mean field quantum spin glasses ⋮ DISTRIBUTION OF PURE STATES IN SHORT-RANGE SPIN GLASSES ⋮ Metastates in finite-type mean-field models: Visibility, invisibility, and random restoration of symmetry ⋮ Fluctuation bounds for interface free energies in spin glasses

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