Thermodynamics of Low-Dimensional Heisenberg Ferromagnets by the Green's Function Method

Fumihisa Suzuki, Naokazu Shibata, Chikara Ishii

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42 Citations (Scopus)


The Green's function formalism proposed by Kondo and Yamaji for low-dimensional spin systems with S=1/2 has been extended to the cases of S>1/2. We apply this formalism to the study of one- and two-dimensional Heisenberg ferromagnets over the whole temperature range. It is shown that our theory can reproduce the correct results obtained by the high-temperature expansion method. On the other hand, the results at low temperatures are similar to those of the modified spin-wave theory, which is considered to predict the low-temperature properties of such systems rather correctly. The gross behaviors of the calculated thermodynamic quantities of ferromagnetic Heisenberg chains agree with those obtained by the exact diagonalization method.

Original languageEnglish
Pages (from-to)1539-1547
Number of pages9
JournalJournal of the Physical Society of Japan
Issue number4
Publication statusPublished - 1994


  • arbitrary magnitudes of spin
  • Green's function
  • Heisenberg ferromagnet
  • Kondo-Yamaji theory
  • one dimension
  • two dimensions
  • whole temperature range


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