Phase transitions in a triangular Blume-Capel antiferromagnet

Abstract

We study the critical behavior of a frustrated Blume-Capel (BC) antiferromagnet on a triangular lattice by Monte Carlo simulations. For a reduced single-ion anisotropy strength $-1.47\lesssim d<0$ we find two phase transitions. The low-temperature phase is characterized by the antiferromagnetic long-range ordering (LRO) on two sublattices with the third one remaining in a non-magnetic state. At higher temperatures there is a critical region of the Berezinskii-Kosterlitz-Thouless (BKT) type with a power-law decaying spin-correlation function. For $-1.5\le d\lesssim -1.47$, there is only one phase transition from the LRO to the paramagnetic region and the transition is of first order. The presence of the BKT phase in the current frustrated BC model is a new feature not observed in its non-frustrated counterparts. The values of the decay exponent $\eta$ of the BKT phase corresponding to upper and lower temperatures appear to be consistent with the theoretical predictions for the six-state clock model.

19 pages, 12 figures

References in corpus (3)

• Wang-Landau study of the triangular Blume-Capel ferromagnet
• Phase Diagram of a Diluted Triangular Lattice Ising Antiferromagnet in a Field
• Effects of selective dilution on phase diagram and ground-state magnetizations of an Ising antiferromagnet on triangular and honeycomb lattices

Cited by in corpus (5)

• Phase behaviour and structure of a superionic liquid in nonpolarized nanoconfinement
• Thermodynamic description of the Ising antiferromagnet on triangular lattice with selective dilution by modified Pair Approximation method
• Frustrated mixed spin-1/2 and spin-1 Ising ferrimagnets on a triangular lattice
• Antiferromagnetic triangular Blume-Capel model with hard core exclusions
• Incommensurate Short-Range Order in $S=1$ Triangular Lattice Ising Antiferromagnet