This article is cited 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.

Received: 02.09.2008
Revised: 10.04.2009

DOI: 10.4213/tmf6466

 English version: Theoretical and Mathematical Physics, 2010, 162:2, 188–200

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