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TMF, 1973, Volume 15, Number 1, Pages 120–126 (Mi tmf3647)  

This article is cited in 5 scientific papers (total in 5 papers)

Two-magnon states in a one-dimensional Heisenberg model with second-neighbor interaction

I. G. Gochev


Abstract: The two-magnon problem is solved for a chain of spins $s=1/2$ with allowance for the interaction of neighbors that come after the nearest neighbors. It is shown that for any interaetion of the second neighbors (all the interactions are ferromagnetic) a bound state of two spin waves exists for all $k$, $0<k<\pi$ ($k$ is the center of mass momentum of the system of two magnons). For $k=\pi$ a sufficiently strong interaction of the second neighbors destroys the bound state, and this result eonfirms the results of [3, 4].

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English version:
Theoretical and Mathematical Physics, 1973, 15:1, 402–406

Received: 27.03.1972

Citation: I. G. Gochev, “Two-magnon states in a one-dimensional Heisenberg model with second-neighbor interaction”, TMF, 15:1 (1973), 120–126; Theoret. and Math. Phys., 15:1 (1973), 402–406

Citation in format AMSBIB
\Bibitem{Goc73}
\by I.~G.~Gochev
\paper Two-magnon states in a one-dimensional Heisenberg model with second-neighbor interaction
\jour TMF
\yr 1973
\vol 15
\issue 1
\pages 120--126
\mathnet{http://mi.mathnet.ru/tmf3647}
\transl
\jour Theoret. and Math. Phys.
\yr 1973
\vol 15
\issue 1
\pages 402--406
\crossref{https://doi.org/10.1007/BF01028269}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. G. Gochev, “Bound magnon-exciton states”, Theoret. and Math. Phys., 22:3 (1975), 290–293  mathnet  crossref
    2. S. M. Tashpulatov, “Exploration of spectrum of the energy operator of two-magnon system in the one-dimensional anisotropic Heisenberg ferromagnet with interaction of second neighbours”, Theoret. and Math. Phys., 107:1 (1996), 544–549  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. S. M. Tashpulatov, “Two-magnon systems in the one-dimensional non-Heisenberg ferromagnet with nearest neighbours and second nearest neighbours interaction with spin value $s=1$”, Theoret. and Math. Phys., 107:2 (1996), 620–628  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. S. M. Tashpulatov, “Spectra and bound states of the energy operator of two-magnon systems in a non-Heisenberg ferromagnet with spin one and nearest-neighbor coupling”, Theoret. and Math. Phys., 125:2 (2000), 1539–1551  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. Tashpulatov, SM, “SPECTRA AND BOUND STATES OF THE ENERGY OPERATOR OF TWO-MAGNON SYSTEM IN A NON-Heisenberg FERROMAGNET WITH SPIN S=3/2 AND NEAREST-NEIGHBOR INTERACTIONS”, Infinite Dimensional Analysis Quantum Probability and Related Topics, 12:1 (2009), 117  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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