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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 162, Number 2, Pages 227–242
DOI: https://doi.org/10.4213/tmf6466 (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
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DOI: https://doi.org/10.4213/tmf6466
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.
Received: 02.09.2008
Revised: 10.04.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 162, Issue 2, Pages 188–200
DOI: https://doi.org/10.1007/s11232-010-0014-6
Bibliographic databases:
Language: Russian
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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    • 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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