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arXiv:hep-lat/0309158 · Nuclear Physics B - Proceedings Supplements

Higher orders of the high-temperature expansion for the Ising model in three dimensions

H. Arisue, T. Fujiwara, Kanehito Tabata

Published Mar 1, 2004• 10 citations
arXivHTMLPDF
DOI
10.1016/s0920-5632(03)02709-9

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For pt.III see ibid., vol.20, p.1841 (1987). The global real-space renormalisation group approach is applied in two and three dimensions to study the pure and diluted transverse Ising model at finite temperatures. A phase diagram in the temperature-field plane is presented for the pure quantum model on the honeycomb, triangular and square lattices in the first-order cumulant expansion. An improvement of the classical Ising fixed-point data in two and three dimensions is considered by having recourse to larger cells and the second-order cumulant expansion. The zero-temperature percolative behaviour of the bond-diluted system is recovered from the fixed-point data analysis. Some shortcomings and relations to other approaches are also discussed.