Theory of the anticontinuous limit for spin Hamiltonians. Search for discrete breather modes

I. G. Bostrem^a, A. S. Ovchinnikov^ab, E. G. Ekomasov^c, Vl. E. Sinitsyn^a, A. E. Fedorov^a, A. A. Voronina<sup>a

a</sup> Institute of Natural Sciences and Mathematics, Ural Federal University named after the first President of Russia Boris Yeltsin, Ekaterinburg, Russia
^b Institute of Metal Physics, Ural Division of the Russian Academy of Sciences, Ekaterinburg, Russia
^c Bashkir State University, Ufa

Abstract: We generalize the theory of extending breather solutions in the anticontinuous limit to the case of discrete spin systems. We formulate necessary conditions and determine the upper bound for the intersite coupling constant for which the extension procedure is possible. Using a numerical algorithm, we obtain breather modes of a discrete spin chain related to single-site and two-site excitations of the anticontinuous limit and show their linear stability.

Keywords: discrete breather, spin system, anticontinuous limit.

Received: 15.09.2022
Revised: 02.10.2022

DOI: 10.4213/tmf10371

 English version: Theoretical and Mathematical Physics, 2023, 214:2, 250–264

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