KnowraMermin–Wagner theoremLinked fromLinked fromThe 6 pages that link to Mermin–Wagner theorem, each with the reason it gives.All 6Related 3Compared with 3Heisenberg modelCompared with: It constrains finite-temperature magnetic order in low-dimensional Heisenberg systems.Goldstone theoremCompared with: It limits when the symmetry-breaking premise of Goldstone’s theorem can occur.J. Michael KosterlitzCompared with: It frames why two-dimensional systems can lack ordinary long-range order yet still undergo a topological transition.Two-dimensional system (physics)Related: It explains why thermal fluctuations obstruct conventional continuous-symmetry order in two dimensions.1-dimensional systems (physics)Related: It explains why thermal fluctuations obstruct conventional continuous-symmetry order in one dimension.Classical spin modelsRelated: It constrains which ordered phases classical models can sustain in low dimensions.