THE PARTITION-FUNCTION ZEROS IN THE ONE-DIMENSIONAL Q-STATE POTTS-MODEL

The zeros of the partition function in the one-dimensional q-state Potts model with arbitrary and continuous q greater than or equal to 0 have been studied using a transfer matrix. The location of zeros and the Yang-Lee edge singularity have been analysed, and two different regimes, corresponding to q > 1 and q < 1, have been observed. A duality relation has also been derived, which relates the zeros in the complex field plane to those in the complex temperature plane.