Self-similarity under inflation and level statistics: a study in two dimensions

Details Self-similarity under inflation and level statistics: a study in two dimensions Self-similarity under inflation and level statistics: a study in two dimensions

1999-09-07

arxiv.org/abs/cond-mat/9909104v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Latex, 13 pages including 6 EPS figures, paper submitted to PRB

Scientific paper

10.1103/PhysRevB.61.R834

Energy level spacing statistics are discussed for a two dimensional quasiperiodic tiling. The property of self-similarity under inflation is used to write a recursion relation for the level spacing distributions defined on square approximants to the perfect quasiperiodic structure. New distribution functions are defined and determined by a combination of numerical and analytical calculations.

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