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Theoretical Approaches in Low-Dimensional Quantum Heisenberg Models

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High-Tc Superconductivity

Part of the book series: Research Reports in Physics ((RESREPORTS))

Abstract

The method of the double-time temperature spin Green functions is used to develop the theory of low-dimensional quantum Heisenberg ferromagnets and antiferromagnets with arbitrary spin. In Tyablikov approximation the correlation functions, the susceptibility of ferromagnets and the staggered susceptibility of antiferromagnets as well as magnetic field dependence of the magnetization for ferromagnets are found. The formulas derived describe ferromagnets and antiferromagnets at arbitrary temperatures and interpolate the regions of low and high temperature behavior. It is paramagnetic temperature that separates the regions of different analytical behavior of the system parameters. The influence of kinetic interaction to the Takahashi’s spin-wave theory with fixed number of bosons is discussed.

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Author information

Authors and Affiliations

  1. Institute for Low Temperature Physics and Engineering, 310 164, Kharkov-164, USSR

    D. A. Yablonskii

Authors
  1. D. A. Yablonskii
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Editor information

Editors and Affiliations

  1. Institute for Theoretical Physics, Ukrainian Academy of Sciences, Metrologicheskaya 14b, 252130, Kiev-130, Ukraine

    Aleksandr S. Davydov  & Vadim M. Loktev  & 

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© 1992 Springer-Verlag Berlin Heidelberg

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Yablonskii, D.A. (1992). Theoretical Approaches in Low-Dimensional Quantum Heisenberg Models. In: Davydov, A.S., Loktev, V.M. (eds) High-Tc Superconductivity. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77293-1_7

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  • DOI: https://doi.org/10.1007/978-3-642-77293-1_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55152-2

  • Online ISBN: 978-3-642-77293-1

  • eBook Packages: Springer Book Archive

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