Ordered phase and phase transitions in the three-dimensional generalized six-state clock model

Todoroki, Norikazu; Ueno, Yohtaro; Miyashita, Seiji

doi:10.1103/physrevb.66.214405

Cited by 10 publications

(13 citation statements)

References 17 publications

(43 reference statements)

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“…The large fluctuation is attributed to large fluctuation due to the apparent XY behavior which is also observed in the 6GCL model. 8) The 3FR phase is not observed. In the present study, we used a larger sized lattices.…”

Section: Model and Numerical Resultsmentioning

confidence: 96%

Ordered Phases and Phase Transitions in The Stacked Triangular Antiferromagnet CsCoCl₃and CsCoBr₃

Todoroki

Miyashita

2004

J. Phys. Soc. Jpn.

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We study the ordered phases and the phase transitions in the stacked triangular antiferromagnetic Ising (STAFI) model with strong interplane coupling modeling CsCoCl 3 and CsCoBr 3 . We find that there exists an intermediate phase which consists of a single phase of so-called partial disordered (PD) type, and confirm the stability of this phase. The low temperature phase of this model is so-called two-sublattice ferri magnetic phase. The phase transition between the PD phase and two-sublattice ferri magnetic phase is of the first order. This sequence of the phases is homomorphic as that in the threedimensional generalized six-state clock model which have the same symmetry of the STAFI model. By studying distributions of domain walls in one dimensional chains connecting layered triangular lattices, we clarify the nature of the phase transition and give an interpretation of little anomaly of the specific heat.

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Section: Model and Numerical Resultsmentioning

confidence: 96%

Ordered Phases and Phase Transitions in The Stacked Triangular Antiferromagnet CsCoCl₃and CsCoBr₃

Todoroki

Miyashita

2004

J. Phys. Soc. Jpn.

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“…There is in principle the possibility of a change of sign of v 6 for entropic reasons as the couplings are varied. 9,19 As Γ increases, it becomes increasingly hard to determine the sign of cos(6θ) for the system sizes available to us. The largest Γ for which we can confidently state that the lower KT transition is into the (+0−) phase is Γ/J = 1.2.…”

Section: Resultsmentioning

confidence: 99%

Interplay of quantum and thermal fluctuations in a frustrated magnet

2003

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We demonstrate the presence of an extended critical phase in the transverse field Ising magnet on the triangular lattice, in a regime where both thermal and quantum fluctuations are important. We map out a complete phase diagram by means of quantum Monte Carlo simulations, and find that the critical phase is the result of thermal fluctuations destabilising an order established by the quantum fluctuations. It is separated by two Kosterlitz-Thouless transitions from the paramagnet on one hand and the quantum-fluctuation driven three-sublattice ordered phase on the other. Our work provides further evidence that the zero temperature quantum phase transition is in the 3d XY universality class.

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“…It was discovered that, in the case ε 1 \ ll ε 2 ∼ eq ε 3 , the model has a new type of intermediate-temperature phase in which two neighboring states mix microscopically. 43 ) In Fig. 6 , we depict a snap shot of the intermediate phase.…”

Section: Frustration I: Ising Spin Systemsmentioning

confidence: 99%

Phase transition in spin systems with various types of fluctuations

Miyashita

2010

Proceedings of the Japan Academy. Ser. B: Physical and Biologic

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Various types ordering processes in systems with large fluctuation are overviewed. Generally, the so-called order–disorder phase transition takes place in competition between the interaction causing the system be ordered and the entropy causing a random disturbance. Nature of the phase transition strongly depends on the type of fluctuation which is determined by the structure of the order parameter of the system. As to the critical property of phase transitions, the concept “universality of the critical phenomena” is well established. However, we still find variety of features of ordering processes. In this article, we study effects of various mechanisms which bring large fluctuation in the system, e.g., continuous symmetry of the spin in low dimensions, contradictions among interactions (frustration), randomness of the lattice, quantum fluctuations, and a long range interaction in off-lattice systems.

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Ordered phase and phase transitions in the three-dimensional generalized six-state clock model

Cited by 10 publications

References 17 publications

Ordered Phases and Phase Transitions in The Stacked Triangular Antiferromagnet CsCoCl₃and CsCoBr₃

Ordered Phases and Phase Transitions in The Stacked Triangular Antiferromagnet CsCoCl₃and CsCoBr₃

Interplay of quantum and thermal fluctuations in a frustrated magnet

Phase transition in spin systems with various types of fluctuations

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Ordered phase and phase transitions in the three-dimensional generalized six-state clock model

Cited by 10 publications

References 17 publications

Ordered Phases and Phase Transitions in The Stacked Triangular Antiferromagnet CsCoCl3and CsCoBr3

Ordered Phases and Phase Transitions in The Stacked Triangular Antiferromagnet CsCoCl3and CsCoBr3

Interplay of quantum and thermal fluctuations in a frustrated magnet

Phase transition in spin systems with various types of fluctuations

Contact Info

Product

Resources

About

Ordered Phases and Phase Transitions in The Stacked Triangular Antiferromagnet CsCoCl₃and CsCoBr₃

Ordered Phases and Phase Transitions in The Stacked Triangular Antiferromagnet CsCoCl₃and CsCoBr₃