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

Ryo Tamura, Shu Tanaka

Research output: Contribution to journalArticle

1 Citation (Scopus)

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⊥. 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 ⊥/J1 increases, which is opposite to the behavior observed in typical unfrustrated three-dimensional systems.

Original languageEnglish
Article number052138
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume88
Issue number5
DOIs
Publication statusPublished - 2013 Nov 26
Externally publishedYes

Fingerprint

Heisenberg Model
Triangular Lattice
latent heat
interlayers
Heat
Interaction
interactions
Nearest Neighbor
Frustration
First-order Phase Transition
frustration
Finite Temperature
Order Parameter
Parameter Space
Triangular
Phase Transition
Monte Carlo Simulation
transition temperature
Symmetry
Decrease

ASJC Scopus subject areas

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

Cite this

@article{c2d95ca925474131ab55c82bb6984c5c,
title = "Interlayer-interaction dependence of latent heat in the Heisenberg model on a stacked triangular lattice with competing interactions",
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{\^a}Š¥. 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 {\^a}Š¥/J1 increases, which is opposite to the behavior observed in typical unfrustrated three-dimensional systems.",
author = "Ryo Tamura and Shu Tanaka",
year = "2013",
month = "11",
day = "26",
doi = "10.1103/PhysRevE.88.052138",
language = "English",
volume = "88",
journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",
issn = "1063-651X",
publisher = "American Physical Society",
number = "5",

}

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 J⊥. 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 ⊥/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 J⊥. 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 ⊥/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 -