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

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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.

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Authors and Affiliations

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

    S. M. Tashpulatov

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  1. S. M. Tashpulatov
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Correspondence to S. M. Tashpulatov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 162, No. 2, pp. 227–242, February, 2010.

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Tashpulatov, S.M. Spectrum of the energy operator of a two-magnon system in the three-dimensional isotropic Heisenberg ferromagnet model with impurity. Theor Math Phys 162, 188–200 (2010). https://doi.org/10.1007/s11232-010-0014-6

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  • DOI: https://doi.org/10.1007/s11232-010-0014-6

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