The phase transition in Z(N) Potts spin model

Alexei Bazavov, Bernd A. Berg, Santosh Dubey

Gerardo Aldazabal, D. Boyanovsky, Vera Lúcia Vieira Baltar +2 more

We show that in contrast to simple block-spin methods, a previously discussed Hamiltonian variational approach indicates the existence of two phase transitions for the vector Potts spin model $Z(N)$ in 1 + 1 dimensions and $N\ensuremath{\gtrsim}5$.

Alexander Velytsky, Bernd A. Berg, Urs M. Heller

Young-Suk Song, Iu W

We study the phase transition in Z(N) Pots spin model by an analytical approach—the generalized cumulant expansion with mean field approximation. As a test, we perform the expansion to the third order correction for Z(3), Z(4), Z(5) and Z(6) cases. The critical points turn out to be closer to the exact values when higher order corrections are taken into account.

Roberto Nicolau Onody, V. Kurak

Based on Baxter's ideas the authors present a method to solve spin models on triangular lattices. If the model has only nearest neighbour interaction and it satisfies the star-triangle relation then the exact free energy can be obtained. They apply the method to reobtain the critical triangular Potts model and to extend the self-dual Z(N) solutions of Fateev and Zamolodchikov to the triangular lattice.

van Kah Ton Leeuwen