Yang-Lee and Fisher Zeros of Multisite Interaction Ising Models on the Cayley-type Lattices
arXiv:cond-mat/0006014 · doi:10.1016/S0375-9601(00)00713-1
Abstract
A general analytical formula for recurrence relations of multisite interaction Ising models in an external magnetic field on the Cayley-type lattices is derived. Using the theory of complex analytical dynamics on the Riemann sphere, a numerical algorithm to obtain Yang-Lee and Fisher zeros of the models is developed. It is shown that the sets of Yang-Lee and Fisher zeros are almost always fractals, that could be associated with Mandelbrot-like sets on the complex magnetic field and temperature planes respectively.
9 pages, 3 figures; with minor corrections
References in corpus (4)
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Cited by in corpus (4)
- Statistical Mechanics of Equilibrium and Nonequilibrium Phase Transitions: The Yang-Lee Formalism
- Yang-Lee Zeros of the Q-state Potts Model on Recursive Lattices
- An exact solution on the ferromagnetic Face-Cubic spin model on a Bethe lattice
- Finding the Dominant Zero of the Energy Probability Distribution