Analytic and numerical study of a hierarchical spin model

• Published in: Condensed Matter Physics
• Date: 1999
• Main Authors: Kozitsky, Yu., Kozlovskii, M., Krokhmalskii, T.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 1999
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119923
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Analytic and numerical study of a hierarchical spin model / Yu. Kozitsky, M. Kozlovskii, T. Krokhmalskii // Condensed Matter Physics. — 1999. — Т. 2, № 1(17). — С. 15-36. — Бібліогр.: 22 назв. — англ.

A simple hierarchical scalar spin model is studied analytically and numerically in the vicinity of its critical point. The dependence of the finite size (i.e. calculated for a large but finite number of spins) susceptibility and the location of zeros of the model partition function on the number of s...