Reentrance of Berezinskii-Kosterlitz-Thouless-like transitions in three-state Potts antiferromagnetic thin film

Abstract

Using Monte Carlo simulations and finite-size scaling, we study three-state Potts antiferromagnet on layered square lattice with two and four layers $L_z=2$ and $4$. As temperature decreases, the system develops quasi-long-range order via a Berezinskii-Kosterlitz-Thouless transition at finite temperature $T_{c1}$. For $L_z=4$, as temperature is further lowered, a long-range order breaking the $Z_6$ symmetry develops at a second transition at $T_{c2}<T_{c1}$. The transition at $T_{c2}$ is also Berezinskii-Kosterlitz-Thouless-like, but has magnetic critical exponent $\eta =1/9$ instead of the conventional value $\eta =1/4$. The emergent $U(1)$ symmetry is clearly demonstrated in the quasi-long-range ordered region $T_{c2}\le T\le T_{c1}$.

arXiv comment6 pages, 10 figs, accepted by Phys. Rev. B

References in corpus (12)

• The two dimensional XY model at the transition temperature: A high precision Monte Carlo study
• Kac-Moody Symmetries of Critical Ground States
• Finite-Size Scaling in Two-Dimensional Superfluids
• Logarithmic Corrections to Scaling in the Two Dimensional $XY$--Model
• The 3-State Square-Lattice Potts Antiferromagnet at Zero Temperature
• Partial order and finite-temperature phase transitions in Potts models on irregular lattices
• True and quasi long-range order in the generalized $q$-state clock model
• Renormalization-group flow and asymptotic behaviors at the Berezinskii-Kosterlitz-Thouless transitions
• Phase transition in the 3-state Potts antiferromagnet on the diced lattice
• Finite-temperature phase transition in a class of 4-state Potts antiferromagnets
• The 3-State Potts Antiferromagnet on the Hexagonal Lattice
• Calculation of the shift exponent for the two layer three state Potts model using the transfer matrix method

Cited by in corpus (6)

• Surface criticality of antiferromagnetic Potts model
• Emergent O(n) Symmetry in a series of three-dimensional Potts Models
• Two-dimensional XY Ferromagnet Induced by Long-range Interaction
• The Nonclassical Regime of the Two-dimensional Long-range XY Model: a Comprehensive Monte Carlo Study
• Overlap of two topological phases in the antiferromagnetic Potts model
• Fate of Berezinskii-Kosterlitz-Thouless Paired Phase in Coupled $XY$ Models