On the decay of correlations inSO(n)-symmetric ferromagnets

1977/02/01 by Oliver A. McBryan, Thomas Spencer · 113 citations
Physics and Astronomy · #Condensed matter physics #Correlation function (quantum field theory) #Exponential growth #Ferromagnetism #Function (biology) #Ising model #Mathematical physics #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Spins #Theoretical and Computational Physics #k-nearest neighbors algorithm

paper · doi:10.1007/bf01609854

published in Communications in Mathematical Physics 53(3), 299-302 (Springer Science and Business Media LLC)

crossref issued 1977/02/01 · crossref published 1977/02/01 · crossref published-print 1977/02/01 · openalex publication_date 1977/02/01 · crossref created 2005/04/30 · crossref deposited 2019/05/03 · openalex created_date 2025/10/10 · crossref indexed 2026/07/10 · openalex updated_date 2026/07/23

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• On the absence of spontaneous symmetry breaking and of crystalline ordering in two-dimensional systems
• The mermin-wagner phenomenon and cluster properties of one- and two-dimensional systems
• The Kosterlitz-Thouless transition in two-dimensional Abelian spin systems and the Coulomb gas
• Phase transitions in generalized XY models
• Infinite Stability in Disordered Systems
• Berezinskii–Kosterlitz–Thouless transition [wikipedia]