The zeros of the Energy Probability Distribution - A new way to study phase transitions -

Abstract

We describe an iterative method to study the critical behavior of a system based on the partial knowledge of the complex Fisher zeros set of the partition function. The method is general with advantages over most conventional techniques since it does not need to identify any order parameter a priori. The critical temperature and exponents can be obtained with great precision. To test the method and to show how it works we applied it to the 2D Ising and 6–states Potts models. The strategy can easily be adapted to any model, classical or quantum, once we can build the corresponding energy probability distribution.