Universal Window for Two Dimensional Critical Exponents

Details Universal Window for Two Dimensional Critical Exponents Universal Window for Two Dimensional Critical Exponents

2008-02-04

arxiv.org/abs/0802.0480v1

J. Phys.: Condens. Matter 20 275233 (2008)

Physics

Condensed Matter

Statistical Mechanics

26 pages, 5 figures and 6 tables. Uses longtable package

Scientific paper

10.1088/0953-8984/20/27/275233

Two dimensional condensed matter is realised in increasingly diverse forms that are accessible to experiment and of potential technological value. The properties of these systems are influenced by many length scales and reflect both generic physics and chemical detail. To unify their physical description is therefore a complex and important challenge. Here we investigate the distribution of experimentally estimated critical exponents, $\beta$, that characterize the evolution of the order parameter through the ordering transition. The distribution is found to be bimodal and bounded within a window $\sim 0.1 \le \beta \le 0.25$, facts that are only in partial agreement with the established theory of critical phenomena. In particular, the bounded nature of the distribution is impossible to reconcile with existing theory for one of the major universality classes of two dimensional behaviour - the XY model with four fold crystal field - which predicts a spectrum of non-universal exponents bounded only from below. Through a combination of numerical and renormalization group arguments we resolve the contradiction between theory and experiment and demonstrate how the "universal window" for critical exponents observed in experiment arises from a competition between marginal operators.

Affiliated with

Also associated with

No associations

Rating

Universal Window for Two Dimensional Critical Exponents does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Universal Window for Two Dimensional Critical Exponents, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal Window for Two Dimensional Critical Exponents will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-237843