Geodesic
Theory of the anticontinuous limit for spin Hamiltonians. Search for discrete breather modes
Teoretičeskaâ i matematičeskaâ fizika, Tome 214 (2023) no. 2, pp. 291-307
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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. 
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     title = {Theory of the~anticontinuous limit for spin {Hamiltonians.} {Search} for discrete breather modes},
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I. G. Bostrem; A. S. Ovchinnikov; E. G. Ekomasov; Vl. E. Sinitsyn; A. E. Fedorov; A. A. Voronina. Theory of the anticontinuous limit for spin Hamiltonians. Search for discrete breather modes. Teoretičeskaâ i matematičeskaâ fizika, Tome 214 (2023) no. 2, pp. 291-307. http://geodesic.mathdoc.fr/item/TMF_2023_214_2_a8/

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