We make a renormalisation group study with the finite size real space renormalization group (FSRSRG) technique of the order of the transition in the three dimensional three state Potts model with nearest neighbor and next to nearest neighbour couplings. Our results provide evidence that the order-disorder transition from a high temperature phase to a low temperature phase is discontinuous not only in the region characterized by both couplings being positive but also when the next to nearest coupling is appreciablyantiferromagnetic. In both cases the correlation length exponent, previously not known, converges to the value ex- pected for a first order first transition but only for large volumes, especially in the antiferromagnetic case.
Renormalization-group Study of the 3 State 3 Dimensional Potts-model
MARINI BETTOLO MARCONI, Umberto;
1989-01-01
Abstract
We make a renormalisation group study with the finite size real space renormalization group (FSRSRG) technique of the order of the transition in the three dimensional three state Potts model with nearest neighbor and next to nearest neighbour couplings. Our results provide evidence that the order-disorder transition from a high temperature phase to a low temperature phase is discontinuous not only in the region characterized by both couplings being positive but also when the next to nearest coupling is appreciablyantiferromagnetic. In both cases the correlation length exponent, previously not known, converges to the value ex- pected for a first order first transition but only for large volumes, especially in the antiferromagnetic case.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
