Exact and statistical self-similarity in magnetoconductance fluctuations: A unified picture

Self-similarity ~the invariance of an intrinsic pattern under scaling ! in the fractal magnetotransport properties of mesoscopic billiards is highly topical. Employing three billiard geometries, we investigate the relationship between the two classes of observed scaling behavior—exact and statistical self-similarity. We employ a correlation analysis to determine the conditions required for their observation and to show that the two forms of self-similarity can be understood within a common framework. @S0163-1829~98!04934-0#