Session LC42 - Phase Transitions and Critical Phenomena.
ORAL session, Tuesday afternoon, March 23
Knollwood Room A, Omni Hotel
We have investigated the ordering in four-, five- and six-state antiferromagnetic Potts models on a simple cubic lattice by using an efficient cluster flipping Monte-Carlo algorithm(1). Unlike the q=3 case(2), which moves from a broken-sublattice-symmetry state to a rotationally-symmetric state before reaching the paramagnetic transition as temperature is increased, the higher q-states show much simpler behavior. For the q=4 case, we find that at small temperatures, two of the states are distributed randomly on one sublattice while the other two are distributed randomly on the other sublattice. The system undergoes a transition to the paramagnetic state at a finite temperature. For the q=5 case, the transition to the paramagnetic state appears to be at T=0. The q=6 case is currently under investigation. Preliminary results show no transition at finite temperature.
1 R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. 58, 86 (1987). 2 S. Rahman, E. Rush and R.H.Swendsen, Phys. Rev. B 58, 9125 (1998).