### Abstract

We study the phase transition behavior of a frustrated Heisenberg model on a stacked triangular lattice by Monte Carlo simulations. The model has three types of interactions: the ferromagnetic nearest-neighbor interaction J _{1} and antiferromagnetic third nearest-neighbor interaction J _{3} in each triangular layer and the ferromagnetic interlayer interaction J_{âŠ¥}. Frustration comes from the intralayer interactions J_{1} and J_{3}. We focus on the case that the order parameter space is SO(3)×C_{3}. We find that the model exhibits a first-order phase transition with breaking of the SO(3) and C_{3} symmetries at finite temperature. We also discover that the transition temperature increases but the latent heat decreases as J _{âŠ¥}/J_{1} increases, which is opposite to the behavior observed in typical unfrustrated three-dimensional systems.

Original language | English |
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Article number | 052138 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 88 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2013 Nov 26 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability

### Cite this

**Interlayer-interaction dependence of latent heat in the Heisenberg model on a stacked triangular lattice with competing interactions.** / Tamura, Ryo; Tanaka, Shu.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Interlayer-interaction dependence of latent heat in the Heisenberg model on a stacked triangular lattice with competing interactions

AU - Tamura, Ryo

AU - Tanaka, Shu

PY - 2013/11/26

Y1 - 2013/11/26

N2 - We study the phase transition behavior of a frustrated Heisenberg model on a stacked triangular lattice by Monte Carlo simulations. The model has three types of interactions: the ferromagnetic nearest-neighbor interaction J 1 and antiferromagnetic third nearest-neighbor interaction J 3 in each triangular layer and the ferromagnetic interlayer interaction JâŠ¥. Frustration comes from the intralayer interactions J1 and J3. We focus on the case that the order parameter space is SO(3)×C3. We find that the model exhibits a first-order phase transition with breaking of the SO(3) and C3 symmetries at finite temperature. We also discover that the transition temperature increases but the latent heat decreases as J âŠ¥/J1 increases, which is opposite to the behavior observed in typical unfrustrated three-dimensional systems.

AB - We study the phase transition behavior of a frustrated Heisenberg model on a stacked triangular lattice by Monte Carlo simulations. The model has three types of interactions: the ferromagnetic nearest-neighbor interaction J 1 and antiferromagnetic third nearest-neighbor interaction J 3 in each triangular layer and the ferromagnetic interlayer interaction JâŠ¥. Frustration comes from the intralayer interactions J1 and J3. We focus on the case that the order parameter space is SO(3)×C3. We find that the model exhibits a first-order phase transition with breaking of the SO(3) and C3 symmetries at finite temperature. We also discover that the transition temperature increases but the latent heat decreases as J âŠ¥/J1 increases, which is opposite to the behavior observed in typical unfrustrated three-dimensional systems.

UR - http://www.scopus.com/inward/record.url?scp=84889244767&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84889244767&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.88.052138

DO - 10.1103/PhysRevE.88.052138

M3 - Article

AN - SCOPUS:84889244767

VL - 88

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 5

M1 - 052138

ER -