Scaling hypothesis for modulated systems

Article

关键词: STRIPE DOMAIN-STRUCTURES;    PHASE-DIAGRAM;    ISING-MODEL;    TRANSITIONS;    FILMS;    PATTERNS;    ANALOGY;    RANGE;   

DOI  :  10.1103/PhysRevB.82.184409

来源: SCIE

【 摘 要 】

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, L-Delta(alpha,L-d). The scaling dimensions Delta(alpha,d) only depend on the dimensionality of the system d and the exponent alpha. Scaling predictions are in agreement with experiments on ultrathin 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.

【 授权许可】

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