Critical behavior at edge singularities in one-dimensional spin models
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2008-09-30
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Dalmazi, D. [UNESP]
Sá, F. L. [UNESP]
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In ferromagnetic spin models above the critical temperature (T> Tcr) the partition function zeros accumulate at complex values of the magnetic field (HE) with a universal behavior for the density of zeros ρ (H) ∼ H- HE σ. The critical exponent σ is believed to be universal at each space dimension and it is related to the magnetic scaling exponent yh via σ= (d- yh) yh. In two dimensions we have yh =125 (σ=-16) while yh =2 (σ=-12) in d=1. For the one-dimensional Blume-Capel and Blume-Emery-Griffiths models we show here, for different temperatures, that a value yh =3 (σ=-23) can emerge if we have a triple degeneracy of the transfer matrix eigenvalues. © 2008 The American Physical Society.
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Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 78, n. 3, 2008.