### 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 language | English |
---|---|

Article number | 012012 |

Journal | Journal of Physics: Conference Series |

Volume | 320 |

DOIs | |

Publication status | Published - 2011 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of Physics: Conference Series*,

*320*, [012012]. https://doi.org/10.1088/1742-6596/320/1/012012

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

Research output: Contribution to journal › Article

*Journal of Physics: Conference Series*, vol. 320, 012012. https://doi.org/10.1088/1742-6596/320/1/012012

}

TY - JOUR

T1 - Critical properties of generalized four-state clock model on square lattices

AU - Suzuki, Takafumi

AU - Tomita, Yusuke

AU - Kawashima, Naoki

AU - Sengupta, Pinaki

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=81055147522&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=81055147522&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/320/1/012012

DO - 10.1088/1742-6596/320/1/012012

M3 - Article

VL - 320

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

M1 - 012012

ER -