Numerical-Diagonalization Analyses of an Effective Hamiltonian for the Haldane System

Yoshihiro Nishiyama, Naomichi Hatano, Masuo Suzuki

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1 Citation (Scopus)


Numerical-diagonalization analyses of an effective Hamiltonian for the Haldane system are given; the phase diadram of this Hamiltonian was previously studied only by means of the Hatree-Fock approximation. Phase transitions of the transverse-Ising-model type are found, and the phase diagram in the λ- D plane is depicted. The dependence of the phase boundary on the next-nearest-neighbor competing interaction is also studied in this effective-Hamiltonian formalism. A physical point of view is obtained by inspecting the low-lying excitation spectra of the effective Hamiltonian, and the correspondence to the original Haldane system is discussed.

Original languageEnglish
Pages (from-to)3249-3262
Number of pages14
Journaljournal of the physical society of japan
Issue number9
Publication statusPublished - Jan 1 1994
Externally publishedYes


  • Haldane conjecture
  • numerical diagonalization
  • quantum spin systems

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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