Frustration and quantum fluctuation in spin-1 antiferromagnetic chains with competing interactions

Isao Harada, Mutsuko Fujikawa, Isao Mannari

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Ground-state phase diagram and low-lying excitation spectrum of the one-dimensional S=1 anisotropic Heisenberg antiferromagnetic chain with nearest neighbor and next nearest neighbor interactions are studied by means of an approximate mapping of the original S=1 spin Hamiltonian to the effective fermion Hamiltonian, which describes the dynamics of spin zero defects in antiferromagnetic environments (domain walls in the Néel state). We find that the frustration due to the next nearest neighbor interactions works cooperatively with quantum fluctuation in the Haldane state and stabilizes it. This is naturally explained in terms of the spin zero defect. In addition, we discuss characteristic features of the excitation spectrum in connection with its ground-state properties.

Original languageEnglish
Pages (from-to)3694-3701
Number of pages8
JournalJournal of the Physical Society of Japan
Volume62
Issue number10
Publication statusPublished - Oct 1993

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frustration
ground state
defects
interactions
excitation
domain wall
fermions
phase diagrams

Keywords

  • Competing interactions
  • Domain wall
  • Haldane state
  • Spin zero defect

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Frustration and quantum fluctuation in spin-1 antiferromagnetic chains with competing interactions. / Harada, Isao; Fujikawa, Mutsuko; Mannari, Isao.

In: Journal of the Physical Society of Japan, Vol. 62, No. 10, 10.1993, p. 3694-3701.

Research output: Contribution to journalArticle

Harada, Isao ; Fujikawa, Mutsuko ; Mannari, Isao. / Frustration and quantum fluctuation in spin-1 antiferromagnetic chains with competing interactions. In: Journal of the Physical Society of Japan. 1993 ; Vol. 62, No. 10. pp. 3694-3701.
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