Self-similarity under inflation and level statistics: a study in two dimensions
Mesoscale and Nanoscale Physics
2009-10-31 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/9909104,
title = {Self-similarity under inflation and level statistics: a study in two dimensions},
author = {A. Jagannathan},
journal= {arXiv preprint arXiv:cond-mat/9909104},
year = {2009}
}
Comments
Latex, 13 pages including 6 EPS figures, paper submitted to PRB