Numerical study on the ground-state phase diagram of the S=1/2 XXZ ladder model

Takeshi Narushima, Tota Nakamura, Tota Nakamura

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The ground-state phase diagram of the S=1/2 XXZ ladder model is investigated by using the density-matrix renormalization-group method. This model is composed of two S=1/2 XXZ chains with ferromagnetic rung couplings (λ) and intra-chain anisotropy (Δ), and continuously changes from the two independent S=1/2 XXZ chains at λ=0 to the S=1 XXZ chain in the limit of λ→∞. It is shown that there exist edge states at Δ=1 and λ=1 in relation to the four-fold degeneracy of the ground state and that an excitation gap opens nearly at λ=0 for 0.8≤Δ≤1. In addition, it is clarified that the transition between the Haldane phase and the antiferromagnetic phase occurs at λ=1. 15±0.01 for Δ=1. A possible phase diagram in the λ-Δ plane is proposed, which is consistent with the scaling analysis based on the bosonization method.

Original languageEnglish
Pages (from-to)4322-4330
Number of pages9
JournalJournal of the Physical Society of Japan
Volume64
Issue number11
Publication statusPublished - 1995 Nov
Externally publishedYes

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ladders
phase diagrams
ground state
renormalization group methods
scaling
anisotropy
excitation

Keywords

  • Density-matrix renormalization-group method
  • Haldane state
  • S=1/2 XXZ ladder model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Numerical study on the ground-state phase diagram of the S=1/2 XXZ ladder model. / Narushima, Takeshi; Nakamura, Tota; Nakamura, Tota.

In: Journal of the Physical Society of Japan, Vol. 64, No. 11, 11.1995, p. 4322-4330.

Research output: Contribution to journalArticle

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