Absence of symmetry breaking for \(N\)-vector spin glass models in two dimensions

DOI10.1007/BF01205791zbMath1223.82059MaRDI QIDQ642481

Aernout C. D. van Enter, Jürg Fröhlich

Publication date: 27 October 2011

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

Full work available at URL: https://projecteuclid.org/euclid.cmp/1103942447

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (9)

Decimations for two-dimensional Ising and rotator models ⋮ Large deviation estimates for a conditional probability distribution. Applications to random interaction Gibbs measures ⋮ On equivalence of spin and field pictures of lattice systems ⋮ Interactions and pressure functionals for disordered lattice systems ⋮ The roles of random boundary conditions in spin systems ⋮ Absence of symmetry breaking for systems of rotors with random interactions ⋮ One dimensional spin glasses with potential decay \(1/r^{1+\epsilon}\). Absence of phase transitions and cluster properties ⋮ Unnamed Item ⋮ Exotic states in long-range spin glasses

Cites Work

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• The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
• Infinite differentiability for one-dimensional spin system with long range random interaction
• Existence of a phase-transition in a one-dimensional Ising ferromagnet

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