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arXiv · 1704.06395

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

Xue Pan·Yanhua Zhang·Lizhu Chen·Mingmei Xu·Yuanfang Wu
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Abstract

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.

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Xue Pan, Yanhua Zhang, Lizhu Chen, Mingmei Xu, Yuanfang Wu. 2018-01-11. Finite-size behaviour of generalized susceptibilities in the whole phase plane of the Potts model. https://doi.org/10.1088/1674-1137%2F42%2F2%2F023110

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