Change search
ReferencesLink to record
Permanent link

Direct link
Extended scaling analysis of the S=1/2 Ising ferromagnet on the simple cubic lattice
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Condensed Matter Theory.
2011 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 83, no 1, 014411- p.Article in journal (Refereed) Published
Abstract [en]

It is often assumed that for treating numerical (or experimental) data on continuous transitions the formal analysis derived from the renormalization-group theory can only be applied over a narrow temperature range, the "critical region"; outside this region correction terms proliferate rendering attempts to apply the formalism hopeless. This pessimistic conclusion follows largely from a choice of scaling variables and scaling expressions, which is traditional but very inefficient for data covering wide temperature ranges. An alternative "extended scaling" approach can be made where the choice of scaling variables and scaling expressions is rationalized in the light of well established high-temperature series expansion developments. We present the extended scaling approach in detail, and outline the numerical technique used to study the three-dimensional (3D) Ising model. After a discussion of the exact expressions for the historic 1D Ising spin chain model as an illustration, an exhaustive analysis of high quality numerical data on the canonical simple cubic lattice 3D Ising model is given. It is shown that in both models, with appropriate scaling variables and scaling expressions (in which leading correction terms are taken into account where necessary), critical behavior extends from T-c up to infinite temperature.

Place, publisher, year, edition, pages
2011. Vol. 83, no 1, 014411- p.
National Category
Condensed Matter Physics
URN: urn:nbn:se:kth:diva-30990DOI: 10.1103/PhysRevB.83.014411ISI: 000286738600005ScopusID: 2-s2.0-79551567326OAI: diva2:402237
QC 20110307Available from: 2011-03-07 Created: 2011-03-07 Last updated: 2011-03-07Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Lundow, Per Håkan
By organisation
Condensed Matter Theory
In the same journal
Physical Review B. Condensed Matter and Materials Physics
Condensed Matter Physics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 16 hits
ReferencesLink to record
Permanent link

Direct link