Spectrum of Two-Magnon non-Heisenberg Ferromagnetic Model of Arbitrary Spin with Impurity

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2013
• Main Author: Tashpulatov, S.M.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106748
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Spectrum of Two-Magnon non-Heisenberg Ferromagnetic Model of Arbitrary Spin with Impurity / S.M. Tashpulatov // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 2. — С. 239-265. — Бібліогр.: 11 назв. — англ.

We consider a two-magnon system in the isotropic non-Heisenberg ferromagnetic model of an arbitrary spin s on a n-dimensional lattice Zⁿ. We establish that the essential spectrum of the system consists of the union of at most four intervals. We obtain lower and upper estimates for the number of thre...