3 years ago

Finite-size behaviour of generalized susceptibilities in the whole phase plane of the Potts model.

Xue Pan, Mingmei Xu, Yuanfang Wu, Yanhua Zhang, Lizhu Chen

We study the sign distribution of generalized magnetic susceptibilities in the temperature-external magnetic field plane using the three-dimensional three-state Potts model. We find that the sign of odd-order susceptibility is opposite in the symmetric (disorder) and broken (order) phases, but that of the even-order one remains positive when it is far away from the phase boundary. When the critical point is approached from the crossover side, negative fourth-order magnetic susceptibility is observable. It is also demonstrated that non-monotonic behavior occurs in the temperature dependence of the generalized susceptibilities of the energy. The finite-size scaling behavior of the specific heat in this model is mainly controlled by the critical exponent of the magnetic susceptibility in the three-dimensional Ising universality class.

Publisher URL: http://arxiv.org/abs/1704.06395

DOI: arXiv:1704.06395v2

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