The discrete cubic and chiral cubic spin systems in various dimensions and their large-N limits

Abstract

The phase transitions of the cubic and chiral cubic models are studied using mean-field and Monte Carlo combined with finite-size scaling methods. The critical exponent of the specific heat for the N-3 cubic model in d=3 dimensions is in agreement with the experimental data. The large-N behaviour of both systems suggests that in the large-N limit the mean field is exact.