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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 208, Number 3, Pages 471–480
DOI: https://doi.org/10.4213/tmf10074 (Mi tmf10074) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Three-dimensional vortices in the Heisenberg model

A. B. Borisovab

a Institute of Metal Physics UB RAS, Ekaterinburg, Russia
b Yeltsin Ural Federal University, Ekaterinburg, Russia
Full-text PDF (546 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf10074
Abstract: We find an exact solution of the three-dimensional Heisenberg model (an $SO(3)$ model in field theory) using a differential substitution. We obtain new types of three-dimensional vortex structures in this model.
Keywords: Heisenberg model, $SO(3)$ model, differential substitution, exact solutions, three-dimensional vortex structures, intersecting vortex filaments, structure of the inclusion type, bicylindrical coordinate system.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation АААА-А18-118020190095-4
The work was supported by the State Assignment of the Ministry of Education and Science of the Russian Federation (the subject “Kvant,” No. AAAA-A18-118020190095-4).
Received: 08.02.2021
Revised: 30.03.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 208, Issue 3, Pages 1256–1264
DOI: https://doi.org/10.1134/S0040577921090075
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik
MSC: 4A05,82D40
Language: Russian
Citation: A. B. Borisov, “Three-dimensional vortices in the Heisenberg model”, TMF, 208:3 (2021), 471–480; Theoret. and Math. Phys., 208:3 (2021), 1256–1264
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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