Unconventional Néel and dimer orders in a spin- 1/2 frustrated ferromagnetic chain with easy-plane anisotropy

Shunsuke Furukawa, Masahiro Sato, Akira Furusaki

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

We study the ground-state phase diagram of a one-dimensional spin- 1/2 easy-plane XXZ model with a ferromagnetic nearest-neighbor (NN) coupling J 1 and a competing next-nearest-neighbor (NNN) antiferromagnetic coupling J 2 in the parameter range 0< J 2 / | J 1 | <0.4. When J 2 / | J 1 | <1/4, the model is in a Tomonaga-Luttinger liquid phase which is adiabatically connected to the critical phase of the XXZ model of J 2 =0. On the basis of the effective (sine-Gordon) theory and numerical analyses of low-lying energy levels of finite-size systems, we show that the NNN coupling induces phase transitions from the Tomonaga-Luttinger liquid to gapped phases with either Néel or dimer order. Interestingly, these two types of ordered phases appear alternately as the easy-plane anisotropy is changed toward the isotropic limit. The appearance of the antiferromagnetic (Néel) order in this model is remarkable, as it is strongly unfavored by both the easy-plane ferromagnetic NN coupling and the antiferromagnetic NNN coupling in the classical-spin picture. We argue that emergent trimer degrees of freedom play a crucial role in the formation of the Néel order.

Original languageEnglish
Article number094430
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume81
Issue number9
DOIs
Publication statusPublished - 2010 Mar 26
Externally publishedYes

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Dimers
Anisotropy
dimers
anisotropy
Liquids
Electron energy levels
Ground state
Phase diagrams
trimers
Phase transitions
liquid phases
degrees of freedom
energy levels
phase diagrams
ground state
liquids

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Unconventional Néel and dimer orders in a spin- 1/2 frustrated ferromagnetic chain with easy-plane anisotropy. / Furukawa, Shunsuke; Sato, Masahiro; Furusaki, Akira.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 81, No. 9, 094430, 26.03.2010.

Research output: Contribution to journalArticle

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