A Scaling Hypothesis for Modulated Systems

Details A Scaling Hypothesis for Modulated Systems A Scaling Hypothesis for Modulated Systems

2008-12-19

arxiv.org/abs/0812.3811v3

Phys. Rev. B 82, 184409 (2010)

Physics

Condensed Matter

Soft Condensed Matter

13 pages, 6 figures, expanded version

Scientific paper

10.1103/PhysRevB.82.184409

We propose a scaling hypothesis for pattern-forming systems in which modulation of the order parameter results from the competition between a short-ranged interaction and a long-ranged interaction decaying with some power $\alpha$ of the inverse distance. With L being a spatial length characterizing the modulated phase, all thermodynamic quantities are predicted to scale like some power of L. The scaling dimensions with respect to L only depend on the dimensionality of the system d and the exponent \alpha. Scaling predictions are in agreement with experiments on ultra-thin ferromagnetic films and computational results. Finally, our scaling hypothesis implies that, for some range of values \alpha>d, Inverse-Symmetry-Breaking transitions may appear systematically in the considered class of frustrated systems.

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