Critical properties of generalized four-state clock model on square lattices

Takafumi Suzuki, Yusuke Tomita, Naoki Kawashima, Pinaki Sengupta

Research output: Contribution to journalArticle

Abstract

We study the finite-temperature transition to the 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. In previous studies, it was obtained from Monte Carlo calculations 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, while a single phase transition takes place in the purely Ising limit[l]. To understand these behaviors, we introduce the generalized four-state chiral clock model and perform Monte Carlo calculations for this model. By comparing the phase diagrams of the two models, we find that the topology of the thermal phase diagram is the same each other - the criticality of the thermal phase transition in the original model can be well explained by that of the generalized four-state chiral clock model.

Original languageEnglish
Article number012012
JournalJournal of Physics: Conference Series
Volume320
DOIs
Publication statusPublished - 2011
Externally publishedYes

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clocks
plateaus
phase diagrams
topology
transition temperature
interactions
magnetization
anisotropy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Critical properties of generalized four-state clock model on square lattices. / Suzuki, Takafumi; Tomita, Yusuke; Kawashima, Naoki; Sengupta, Pinaki.

In: Journal of Physics: Conference Series, Vol. 320, 012012, 2011.

Research output: Contribution to journalArticle

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