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Phase diagram in the two-dimensional generalized 5-state clock model

Duong Xuan Nui, Doan Thi Thanh Phuong, Le Chi Luan +5 more

Physics Letters AMay 4, 20260 citations

Phase diagram of a six-state chiral Potts model

H. Meyer, J C Anglès d'Auriac, J.-M. Maillard +1 more

Physica A Statistical Mechanics and its ApplicationsAug 1, 199417 citations

Many commensurate phases in the chiral Potts or asymmetric clock models

Julia M. Yeomans, M E Fisher

Journal of Physics C Solid State PhysicsDec 20, 19813 citations

Emergent dynamical quantum phase transition in a Z3 symmetric chiral clock model

Ling-Feng Yu, Wei-Lin Li, Xue-Jia Yu +1 more

arXiv:2411.03953Physics Letters AMar 8, 20262 citations

Complex-temperature phase diagram of the 1D Z6 clock model and its connection with higher-dimensional models

V. Matveev, Robert E. Shrock

arXiv:cond-mat/9606014Physics Letters AOct 1, 19968 citations

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

Takafumi J. Suzuki, Yusuke Tomita, Naoki Kawashima +1 more

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.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.

Journal of Physics Conference SeriesSep 28, 20110 citations

Phase diagram in the generalized chiral clock models

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