Physics – Condensed Matter
Scientific paper
1993-11-24
Physics
Condensed Matter
15 pages, latex, 14 figures upon request, INHA-PHYS-93-001
Scientific paper
10.1103/PhysRevB.49.12881
We study the phase diagram of the three-state Potts model on a triangular lattice with general interactions (ferro/antiferromagnetic) between nearest neighbor spins. When the interactions along two lattice-vector directions are antiferromagnetic and infinitely strong, this model becomes equivalent to a six-vertex model and exhibits a first-order (KDP) transition from an ordered phase into a critical phase. Comparing the excitations occurred by relaxing the restriction of infinite-strength interactions and those in the eight-vertex model, we analytically obtain the critical index for those excitations and demonstrate the existence of a critical phase for the case of finite antiferromagnetic interactions in two directions and ferromagnetic interactions in the other direction. When the interactions are antiferromagnetic in all three directions, Monte Carlo simulations show that a first-order line emerges from the KDP point and separates completely an ordered phase and a disordered phase. Along the special line where all three antiferromagnetic interactions have the same strength, the cell-spin analysis reveals that the symmetry of the ground states is dual to the symmetry of the $n=3$ ferromagnetic cubic model which is known to exhibit a first-order phase transition.
No associations
LandOfFree
The three-state Potts model on a triangular lattice does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The three-state Potts model on a triangular lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The three-state Potts model on a triangular lattice will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-504957