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TMF, 2010, Volume 162, Number 2, Pages 227–242 (Mi tmf6466)  

This article is cited in 1 scientific paper (total in 1 paper)

Spectrum of the energy operator of a two-magnon system in the three-dimensional isotropic Heisenberg ferromagnet model with impurity

S. M. Tashpulatov

Institute for Nuclear Physics, Academy of Sciences, Republic of Uzbekistan, Tashkent, Uzbekistan

Abstract: We consider the energy operator of two-magnon systems in the three-dimensional isotropic Heisenberg ferromagnet model with impurity and with the nearest-neighbor interaction. We investigate the structure of the essential spectrum and discrete spectrum of the system on a three-dimensional lattice. We show that the essential spectrum consists of the union of at most four segments and that the discrete spectrum is finite at the edge of the essential spectrum.

Keywords: discrete spectrum, essential spectrum, Heisenberg model, lattice, two-magnon system, local impurity state

DOI: https://doi.org/10.4213/tmf6466

Full text: PDF file (440 kB)
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English version:
Theoretical and Mathematical Physics, 2010, 162:2, 188–200

Bibliographic databases:

Received: 02.09.2008
Revised: 10.04.2009

Citation: S. M. Tashpulatov, “Spectrum of the energy operator of a two-magnon system in the three-dimensional isotropic Heisenberg ferromagnet model with impurity”, TMF, 162:2 (2010), 227–242; Theoret. and Math. Phys., 162:2 (2010), 188–200

Citation in format AMSBIB
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\by S.~M.~Tashpulatov
\paper Spectrum of the~energy operator of a~two-magnon system in the~three-dimensional isotropic Heisenberg ferromagnet model with impurity
\jour TMF
\yr 2010
\vol 162
\issue 2
\pages 227--242
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\crossref{https://doi.org/10.4213/tmf6466}
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\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2010TMP...162..188T}
\transl
\jour Theoret. and Math. Phys.
\yr 2010
\vol 162
\issue 2
\pages 188--200
\crossref{https://doi.org/10.1007/s11232-010-0014-6}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952083768}


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  • http://mi.mathnet.ru/eng/tmf6466
  • https://doi.org/10.4213/tmf6466
  • http://mi.mathnet.ru/eng/tmf/v162/i2/p227

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. S. M. Tashpulatov, “Spectrum of the energy operator of two-magnon systems in the isotropic Heisenberg ferromagnet model with impurity”, Theoret. and Math. Phys., 164:3 (2010), 1222–1229  mathnet  crossref  crossref  adsnasa  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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