The Yang–Lee zeros of the Q-state Potts model are investigated in one, two and three dimensions. Analytical results derived from the transfer matrix for the one-dimensional model reveal a systematic behavior of the locus of zeros as a function of Q. For 1<Q<2 the zeros in the complex x=exp(βHq) plane lie inside the unit circle, while for Q>2 they lie outside the unit circle for...</q<2>

The distribution of the zeros of the partition function in the complex temperature plane (Fisher zeros) of the two-dimensional Q-state Potts model is studied for non-integer Q. On L×L self-dual lattices studied (L⩽8), no Fisher zero lies on the unit circle p0=eiθ in the complex...