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Theory of the anticontinuous limit for spin Hamiltonians. Search for discrete breather modes. / Bostrem, I. G.; Ovchinnikov, A. S.; Ekomasov, E. G. и др.
в: Theoretical and Mathematical Physics, Том 214, № 2, 01.02.2023, стр. 250-264.

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Bostrem IG, Ovchinnikov AS, Ekomasov EG, Sinitsyn VE, Fedorov AE, Voronina AA. Theory of the anticontinuous limit for spin Hamiltonians. Search for discrete breather modes. Theoretical and Mathematical Physics. 2023 февр. 1;214(2):250-264. doi: 10.1134/S0040577923020095

Author

Bostrem, I. G. ; Ovchinnikov, A. S. ; Ekomasov, E. G. и др. / Theory of the anticontinuous limit for spin Hamiltonians. Search for discrete breather modes. в: Theoretical and Mathematical Physics. 2023 ; Том 214, № 2. стр. 250-264.

BibTeX

@article{9ab77e31f52a43db8351fa3eb439d8c0,
title = "Theory of the anticontinuous limit for spin Hamiltonians. Search for discrete breather modes",
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.",
author = "Bostrem, {I. G.} and Ovchinnikov, {A. S.} and Ekomasov, {E. G.} and Sinitsyn, {Vl. E.} and Fedorov, {A. E.} and Voronina, {A. A.}",
note = "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.",
year = "2023",
month = feb,
day = "1",
doi = "10.1134/S0040577923020095",
language = "English",
volume = "214",
pages = "250--264",
journal = "Theoretical and Mathematical Physics",
issn = "0040-5779",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - Theory of the anticontinuous limit for spin Hamiltonians. Search for discrete breather modes

AU - Bostrem, I. G.

AU - Ovchinnikov, A. S.

AU - Ekomasov, E. G.

AU - Sinitsyn, Vl. E.

AU - Fedorov, A. E.

AU - Voronina, A. A.

N1 - 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.

PY - 2023/2/1

Y1 - 2023/2/1

N2 - 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.

AB - 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.

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UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85149294637

U2 - 10.1134/S0040577923020095

DO - 10.1134/S0040577923020095

M3 - Article

VL - 214

SP - 250

EP - 264

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

SN - 0040-5779

IS - 2

ER -

ID: 36035156