Finite-temperature phase transition to the m= 1 2 plateau phase in the spin- 1 2 XXZ model on the Shastry-Sutherland lattices

T. Suzuki, Yusuke Tomita, N. Kawashima, P. Sengupta

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We study the finite-temperature transition to the m=1/2 magnetization plateau in a model of interacting S=1/2 spins with longer-range interactions and strong exchange anisotropy on the geometrically frustrated Shastry-Sutherland lattice. This model was shown to capture the qualitative features of the field-induced magnetization plateaus in the rare-earth tetraboride, TmB 4. Our results show that the transition to the plateau state occurs via two successive transitions with the two-dimensional Ising universality class, when the quantum exchange interactions are finite, whereas a single phase transition takes place in the purely Ising limit. To better understand these behaviors, we perform Monte Carlo simulations of the classical generalized four-state chiral clock model and compare the phase diagrams of the two models. Finally, we estimate a parameter set that can explain the magnetization curves observed in TmB4. The magnetic properties and critical behavior of the finite-temperature transition to the m=1/2 plateau state are also discussed.

Original languageEnglish
Article number214404
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume82
Issue number21
DOIs
Publication statusPublished - 2010 Dec 2
Externally publishedYes

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plateaus
Phase transitions
Magnetization
magnetization
Superconducting transition temperature
transition temperature
Temperature
temperature
Exchange interactions
clocks
Rare earths
Phase diagrams
Clocks
Magnetic properties
Anisotropy
rare earth elements
phase diagrams
interactions
magnetic properties
anisotropy

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Finite-temperature phase transition to the m= 1 2 plateau phase in the spin- 1 2 XXZ model on the Shastry-Sutherland lattices. / Suzuki, T.; Tomita, Yusuke; Kawashima, N.; Sengupta, P.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 82, No. 21, 214404, 02.12.2010.

Research output: Contribution to journalArticle

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