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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 214, Number 2, Pages 291–307
DOI: https://doi.org/10.4213/tmf10371 (Mi tmf10371) 		 
Theory of the anticontinuous limit for spin Hamiltonians. Search for discrete breather modes

I. G. Bostrema, A. S. Ovchinnikovab, E. G. Ekomasovc, Vl. E. Sinitsyna, A. E. Fedorova, A. A. Voroninaa

a 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
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DOI: https://doi.org/10.4213/tmf10371
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.
Funding agency Grant number
Russian Foundation for Basic Research 20-02-00213
Ministry of Science and Higher Education of the Russian Federation FEUZ-2020-0054
Priority 2030 Program
This work was supported by the Russian Foundation for Basic Research (grant No. 20-02-00213). I. G. Bostrem, A. S. Ovchinnikov, and Vl. E. Sinitsyn are grateful to the Ministry of Science and Higher Education of the Russian Federation for the support of investigations (Program of the Development of the Ural Federal University in the framework of the “Priority-2030” Program). A. S. Ovchinnikov and A. E. Fedorov are grateful to the Ministry of Science and Higher Education of the Russian Federation, State Assignment Project No. FEUZ-2020-0054.
Received: 15.09.2022
Revised: 02.10.2022
English version:
Theoretical and Mathematical Physics, 2023, Volume 214, Issue 2, Pages 250–264
DOI: https://doi.org/10.1134/S0040577923020095
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Document Type: Article
Language: Russian
Citation: 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”, TMF, 214:2 (2023), 291–307; Theoret. and Math. Phys., 214:2 (2023), 250–264
Citation in format AMSBIB
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\by I.~G.~Bostrem, A.~S.~Ovchinnikov, E.~G.~Ekomasov, Vl.~E.~Sinitsyn, A.~E.~Fedorov, A.~A.~Voronina
\paper Theory of the~anticontinuous limit for spin Hamiltonians. Search for discrete breather modes
\jour TMF
\yr 2023
\vol 214
\issue 2
\pages 291--307
\mathnet{http://mi.mathnet.ru/tmf10371}
\crossref{https://doi.org/10.4213/tmf10371}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4563408}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2023TMP...214..250B}
\transl
\jour Theoret. and Math. Phys.
\yr 2023
\vol 214
\issue 2
\pages 250--264
\crossref{https://doi.org/10.1134/S0040577923020095}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85149294637}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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