Existence of Long-Range Order in One and Two Dimensions

1967/06/10 by P. C. Hohenberg · 1 voice · 56 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Spectral Theory in Mathematical Physics

paper · doi:10.1103/physrev.158.383

openalex publication_date 1967/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is pointed out that a rigorous inequality first proved by Bogoliubov may be used to rule out the existence of quasi-averages (or long-range order) in Bose and Fermi systems for one and two dimensions and T\ensuremath≠0.

Citations

• Theory of Superconductivity

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Discussions

• Can the Mermin-Wagner theorem apply to the system with the Anderson-Higgs mechanism where the Goldstone mode is absent? A "physics" view to understand Mermin-Wagner theorem may be attributed to the th [stackexchange, 4 points]

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