High Temperature Expansion for the SU(n) Heisenberg Model in One Dimension

Noboru Fukushima, Yoshio Kuramoto

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8 Citations (Scopus)


Thermodynamic properties of the SU(n) Heisenberg model with the nearest-neighbor interaction in one dimension are studied by means of high-temperature expansion for arbitrary n. The specific heat up to O[(βJ)23] and the correlation function up to O[(βJ) 19] are derived with βJ being the antiferromagnetic exchange in units of temperature. The series coefficients are obtained as explicit functions of n. It is found for n > 2 that the specific heat exhibits a shoulder on the high-temperature side of a peak, The origin of this structure is clarified by deriving the temperature dependence of the correlation function. With decreasing temperature, the short-range correlation with two-site periodicity develops first, and then another correlation occurs with n-site periodicity at lower temperature, This behavior is in contrast to that of the 1/r2-model, where the specific heat shows a single peak according to the exact solution.

Original languageEnglish
Pages (from-to)1238-1241
Number of pages4
Journaljournal of the physical society of japan
Issue number5
Publication statusPublished - 2002 May
Externally publishedYes


  • Degeneracy
  • High-temperature expansion
  • Multipolar interaction
  • SU(n) symmetry, Heisenberg model

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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