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Ising ferromagnet in dimension five: Link and spin overlaps
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Condensed Matter Theory.
2013 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 87, no 2Article in journal (Refereed) Published
Abstract [en]

In the simple [hyper]cubic five-dimension, near-neighbor-interaction Ising ferromagnet, extensive simulation measurements are made of the link overlap and the spin overlap distributions. These "two replica" measurements are standard in the spin glass context but are not usually recorded in ferromagnet simulations. The moments and moment ratios of these distributions (the variance, the kurtosis, and the skewness) show clear critical behaviors at the known ordering temperature of the ferromagnet. Analogous overlap effects can be expected quite generally in Ising ferromagnets in any dimension. The link overlap results in particular, with peaks at criticality in the kurtosis and the skewness, also have implications for spin glasses.

Place, publisher, year, edition, pages
2013. Vol. 87, no 2
Keyword [en]
Critical behavior, Extensive simulations, Ferromagnets, Ising ferromagnets, Moment ratio, Ordering temperature, Overlap effect, Ferromagnetic materials, Higher order statistics, Magnets, Spin glass, Superconducting materials, Ferromagnetism
National Category
Condensed Matter Physics
URN: urn:nbn:se:kth:diva-127054DOI: 10.1103/PhysRevE.87.022102ISI: 000314362600002ScopusID: 2-s2.0-84873646855OAI: diva2:644761

QC 20130902

Available from: 2013-09-02 Created: 2013-08-28 Last updated: 2014-09-29Bibliographically approved

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Lundow, Per Håkan
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