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TMF, 2010, Volume 164, Number 3, Pages 464–472 (Mi tmf6558)  

Spectrum of the energy operator of two-magnon systems in the isotropic Heisenberg ferromagnet model with impurity

S. M. Tashpulatov

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

Abstract: We consider a two-magnon system in the isotropic Heisenberg ferromagnet model with impurity on a $\nu$-dimensional lattice $\mathbb Z^{\nu}$. We establish that the essential spectrum of the system consists of the union of at most four intervals. We obtain the lower and upper estimates for the number of three-particle bound states of the system.

Keywords: essential spectrum, discrete spectrum, local impurity state, bound state, Heisenberg model, two-magnon system in the impurity model

DOI: https://doi.org/10.4213/tmf6558

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English version:
Theoretical and Mathematical Physics, 2010, 164:3, 1222–1229

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Citation: S. M. Tashpulatov, “Spectrum of the energy operator of two-magnon systems in the isotropic Heisenberg ferromagnet model with impurity”, TMF, 164:3 (2010), 464–472; Theoret. and Math. Phys., 164:3 (2010), 1222–1229

Citation in format AMSBIB
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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