Thermodynamic Properties of the One-Dimensional Spin-1/2 Heisenberg Antiferromagnet with Competing Interactions

Tetsuji Kimura, Takashi Tonegawa, Isao Harada, Tetsuji Kimura, Takashi Tonegawa, Tetsuji Kimura

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18 Citations (Scopus)


Thermodynamic properties are studied for the one-dimensional spin-1/2 Heisenberg antiferromagnet with antiferromagnetic first- and second-neighbor exchange interactions. The internal energy, the specific heat, and the two-spin correlation function are calculated by means of the cluster transfer matrix method based on the Suzuki-Trotter equivalence theorem. Special attention is paid to the asymptotic behavior of the two-spin correlation function in the long-distance limit. It is found that for a certain range of values of the interaction constants and of the temperature, the two-spin correlation function decays with an incommensurate or a higher-order commensurate oscillation as a function of the distance between two spins. We also find that there exists a quantum analog of the disorder line, on which the two-spin correlation function changes its character.

Original languageEnglish
Pages (from-to)2779-2790
Number of pages12
Journaljournal of the physical society of japan
Issue number8
Publication statusPublished - 1988


  • cluster transfer matrix method
  • competing interactions
  • disorder line
  • internal energy
  • one-dimensional system
  • specific heat
  • spin-1/2 Heisenberg antiferromagnet
  • thermodynamic properties
  • two-spin correlation function

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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