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- W2019491344 abstract "A family of classical statistical-mechanical spin models, by now extensively studied in the literature, involves two-component unit vectors, associated with a two-dimensional lattice, with pair potentials restricted to nearest neighbors and possessing $O(2)$ symmetry---i.e., defined by some function of the scalar product between the two interacting spins; these studies often show the existence of a topological phase transition. We show here that, for a wide class of interaction models of the above type, available mathematical results entail the existence of a topological (Berezinskiifmmode breve{imath}else u{i}fi{}-Kosterlitz-Thouless-like) transition, as well as a rigorous lower bound on the transition temperature." @default.
- W2019491344 created "2016-06-24" @default.
- W2019491344 creator A5035531152 @default.
- W2019491344 date "2006-04-05" @default.
- W2019491344 modified "2023-10-14" @default.
- W2019491344 title "Topological transitions in two-dimensional lattice spin models" @default.
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- W2019491344 doi "https://doi.org/10.1103/physreve.73.042701" @default.
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