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22 August 2019
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Phase Transition with the Berezinskii--Kosterlitz--Thouless Singularity in the Ising Model on a Growing Network
M. Bauer ; S. Coulomb ; S.N. Dorogovtsev ;
Rating Members: 2/5 (1 reader)
Date 25 Dec 2004
Journal Phys.Rev.Lett. 94 (2005) 200602
Subject Statistical Mechanics; Mathematical Physics | cond-mat.stat-mech hep-lat hep-th math-ph math.MP
AbstractWe consider the ferromagnetic Ising model on a highly inhomogeneous network created by a growth process. We find that the phase transition in this system is characterised by the Berezinskii--Kosterlitz--Thouless singularity, although critical fluctuations are absent, and the mean-field description is exact. Below this infinite order transition, the magnetization behaves as $exp(-const/sqrt{T_c-T})$. We show that the critical point separates the phase with the power-law distribution of the linear response to a local field and the phase where this distribution rapidly decreases. We suggest that this phase transition occurs in a wide range of cooperative models with a strong infinite-range disorder.
Source arXiv, cond-mat/0501596
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