{ "id": "cond-mat/9909104", "version": "v1", "published": "1999-09-07T12:39:53.000Z", "updated": "1999-09-07T12:39:53.000Z", "title": "Self-similarity under inflation and level statistics: a study in two dimensions", "authors": [ "A. Jagannathan" ], "comment": "Latex, 13 pages including 6 EPS figures, paper submitted to PRB", "doi": "10.1103/PhysRevB.61.R834", "categories": [ "cond-mat.mes-hall" ], "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.", "revisions": [ { "version": "v1", "updated": "1999-09-07T12:39:53.000Z" } ], "analyses": { "keywords": [ "level statistics", "self-similarity", "dimensions", "energy level spacing statistics", "perfect quasiperiodic structure" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }