Second-order phase transition in the Heisenberg model on a triangular lattice with competing interactions

Ryo Tamura; Shu Tanaka; Naoki Kawashima

doi:10.1103/PhysRevB.87.214401

Second-order phase transition in the Heisenberg model on a triangular lattice with competing interactions

Ryo Tamura^*, Shu Tanaka, Naoki Kawashima

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We discover an example where the dissociation of the Z₂ vortices occurs at the second-order phase transition point. We investigate the nature of phase transition in a classical Heisenberg model on a distorted triangular lattice with competing interactions. The order parameter space of the model is SO(3)×Z₂. The dissociation of the Z₂ vortices which comes from SO(3) and a second-order phase transition with Z₂ symmetry breaking occur at the same temperature. We also find that the second-order phase transition belongs to the universality class of the two-dimensional Ising model.

Original language	English
Article number	214401
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	87
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevB.87.214401
Publication status	Published - 2013 Jun 3
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
Electronic, Optical and Magnetic Materials

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10.1103/PhysRevB.87.214401

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abstract = "We discover an example where the dissociation of the Z2 vortices occurs at the second-order phase transition point. We investigate the nature of phase transition in a classical Heisenberg model on a distorted triangular lattice with competing interactions. The order parameter space of the model is SO(3)×Z2. The dissociation of the Z2 vortices which comes from SO(3) and a second-order phase transition with Z2 symmetry breaking occur at the same temperature. We also find that the second-order phase transition belongs to the universality class of the two-dimensional Ising model.",

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N2 - We discover an example where the dissociation of the Z2 vortices occurs at the second-order phase transition point. We investigate the nature of phase transition in a classical Heisenberg model on a distorted triangular lattice with competing interactions. The order parameter space of the model is SO(3)×Z2. The dissociation of the Z2 vortices which comes from SO(3) and a second-order phase transition with Z2 symmetry breaking occur at the same temperature. We also find that the second-order phase transition belongs to the universality class of the two-dimensional Ising model.

AB - We discover an example where the dissociation of the Z2 vortices occurs at the second-order phase transition point. We investigate the nature of phase transition in a classical Heisenberg model on a distorted triangular lattice with competing interactions. The order parameter space of the model is SO(3)×Z2. The dissociation of the Z2 vortices which comes from SO(3) and a second-order phase transition with Z2 symmetry breaking occur at the same temperature. We also find that the second-order phase transition belongs to the universality class of the two-dimensional Ising model.

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Second-order phase transition in the Heisenberg model on a triangular lattice with competing interactions

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