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Article overview
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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 | | Abstract: | We 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 | | Services: | Forum | Review | PDF | Favorites | |
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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 of the Mermin-Wagner theorem at least in the 2DXY model. The magnetisation M is 0 at all temperatures for the 2DXY model. The magnetisation found in this article $M =exp(-c/(\sqrt{T_c-T})$ could be related to a 3DXY or something like that.
I don't understand the BKT interpretation in this article.
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