{ "id": "1205.4541", "version": "v1", "published": "2012-05-21T09:40:11.000Z", "updated": "2012-05-21T09:40:11.000Z", "title": "Multifractality of eigenfunctions in spin chains", "authors": [ "Yasar Yilmaz Atas", "Eugene Bogomolny" ], "comment": "5 pages, 7 figures", "categories": [ "cond-mat.stat-mech", "math-ph", "math.MP" ], "abstract": "We investigate different one-dimensional quantum spin-1/2 chain models and by combining analytical and numerical calculations prove that their ground state wave functions in the natural spin basis are multifractals with, in general, non-trivial fractal dimensions.", "revisions": [ { "version": "v1", "updated": "2012-05-21T09:40:11.000Z" } ], "analyses": { "subjects": [ "81V70", "81Q80" ], "keywords": [ "spin chains", "multifractality", "ground state wave functions", "eigenfunctions", "non-trivial fractal dimensions" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1205.4541Y" } } }