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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2005 Volume 142, Number 1, Pages 83–92 (Mi tmf1768)

This article is cited in 2 papers

One-magnon systems in an isotropic non-Heisenberg ferromagnetic impurity model

S. M. Tashpulatov

Institute of Nuclear Physics, Academy of Sciences of Uzbekistan

Abstract: We consider a one-magnon system in an isotropic non-Heisenberg impurity model with an arbitrary spin and investigate the spectrum and the localized impurity states of the system on the $\nu$-dimensional integer lattice $Z^{\nu}$. We show that there are at most three types of localized impurity states (not counting the degeneracy multiplicities of their energy levels) in this system. We find the domains of these states and calculate the degeneracy multiplicities of their energy levels.

Keywords: impurity states, lattice, interaction, creation operator, annihilation operator.

Received: 07.06.2004

DOI: 10.4213/tmf1768


 English version:
Theoretical and Mathematical Physics, 2005, 142:1, 71–78

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