Ground-state properties of the one-dimensional isotropic spin-1/2 Heisenberg antiferromagnet with competing interactions

Takashi Tonegawa, Isao Harada

Research output: Contribution to journalArticle

220 Citations (Scopus)

Abstract

The ground-state properties of the one-dimensional isotropic spin-1/2 Heisenberg antiferromagnet with antiferromagnetic first- and second-neighbor exchange interactions are discussed. The ground-state energy, the singlet-triplet energy gap, the Néel correlation function, the dimer correlation function, and the magnetization are calculated exactly for finite-size systems up to 20 spins. By extrapolating these results, the values of the above quantities at the infinite-size limit are estimated. In particular, it is found that the limiting ground state is in the gapless or finite-gap phase depending on whether 0≦j≦jc or j>jc, where j is the ratio of the second- to the first-neighbor interaction constant and jc=0.30±0.01. Dimer long-range order does exist in the finite-gap phase and it does not in the gapless phase, while no Néel long-range order exists in both phases.

Original languageEnglish
Pages (from-to)2153-2167
Number of pages15
JournalJournal of the Physical Society of Japan
Volume56
Issue number6
Publication statusPublished - Jun 1987
Externally publishedYes

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ground state
dimers
interactions
magnetization
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ground-state properties of the one-dimensional isotropic spin-1/2 Heisenberg antiferromagnet with competing interactions. / Tonegawa, Takashi; Harada, Isao.

In: Journal of the Physical Society of Japan, Vol. 56, No. 6, 06.1987, p. 2153-2167.

Research output: Contribution to journalArticle

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