Geodesic
Spectrum of the~energy operator of a~two-magnon system in the~three-dimensional isotropic Heisenberg ferromagnet model with impurity
Teoretičeskaâ i matematičeskaâ fizika, Tome 162 (2010) no. 2, pp. 227-242

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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. 
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     author = {S. M. Tashpulatov},
     title = {Spectrum of the~energy operator of a~two-magnon system in the~three-dimensional isotropic {Heisenberg} ferromagnet model with impurity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {227--242},
     publisher = {mathdoc},
     volume = {162},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2010_162_2_a4/}
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S. M. Tashpulatov. Spectrum of the~energy operator of a~two-magnon system in the~three-dimensional isotropic Heisenberg ferromagnet model with impurity. Teoretičeskaâ i matematičeskaâ fizika, Tome 162 (2010) no. 2, pp. 227-242. http://geodesic.mathdoc.fr/item/TMF_2010_162_2_a4/