First-Order Transition to Incommensurate Phase with Broken Lattice Rotation Symmetry in Frustrated Heisenberg Model

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dc.creatorTamura, Ryo
dc.creatorKawashima, Naoki
dc.date2008-09-02
dc.date.accessioned2026-07-07T12:09:00Z
dc.date.available2026-07-07T12:09:00Z
dc.descriptionWe study a finite-temperature phase transition in the two-dimensional classical Heisenberg model on a triangular lattice with a ferromagnetic nearest-neighbor interaction $J_1$ and an antiferromagnetic third-nearest-neighbor interaction $J_3$ using a Monte Carlo method. Apart from a trivial degeneracy corresponding to O(3) spin rotations,the ground state for $J_3 \neq 0$ has a threefold degeneracy corresponding to 120 degree lattice rotations. We find that this model exhibits a first-order phase transition with the breaking of the threefold symmetry when the interaction ratio is $J_3/J_1=-3$.
dc.description4pages,5figures
dc.identifierhttps://arxiv.org/abs/0809.0512
dc.identifierhttp://arxiv.org/abs/0809.0512
dc.identifierJ. Phys. Soc. Jpn. 77, 103002 (2008).
dc.identifierdoi:10.1143/JPSJ.77.103002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209485
dc.subjectStatistical Mechanics
dc.titleFirst-Order Transition to Incommensurate Phase with Broken Lattice Rotation Symmetry in Frustrated Heisenberg Model
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