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25 March 2017
 
  » arxiv » cond-mat/0501596

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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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1 review found:
(To access fulltext of a review, click on titles below.)
1. Science-advisor.net review 05090018 (2 readers)    * Rate this comment.
Review title: Magnetisation in the 2DXY model?
Reviewer: reviewer20
Date: 23 September 2005 at 13:47 GMT.
Comment: It seems that there is a problem of interpretation in this articel. There is no long range order parameter the BKT phase transition because [...]

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