The Spin 1/2 Heisenberg-Model and the Railroad Trestle Geometry

Martin Long, S Siak

Research output: Contribution to journalArticle

5 Citations (Scopus)


We study the spin 1/2 Heisenberg model on the 'Railroad Trestle' geometry of two lines of close packed atoms. Our motivation is to try to establish a link between triangular geometries and the Haldane gap. The classical limit of the model involves incommensurate spiralling, but there is a collinear state nearby in energy. We believe that quantum fluctuations stabilize the symmetry associated with the collinear state. We give numerical evidence to suggest that the state stabilized has a spontaneously broken symmetry with similar short range correlations to those found in the spin 1 chain, together with a gap to excitations.
Original languageEnglish
Pages (from-to)4901-4915
Number of pages15
JournalJournal of Physics: Condensed Matter
Issue number26
Publication statusPublished - 1 Jul 1991


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