title: Calculation of multi-fractal dimensions in spin chains.
abstract: It was demonstrated in Atas & Bogomolny (2012 Phys. Rev. E 86, 021104) that the ground-state wave functions for a large variety of one-dimensional spin- models are multi-fractals in the natural spin-z basis. We present here the details of analytical derivations and numerical confirmations of this statement.
authors.affiliation: Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), , UMR 8626, CNRS, Université Paris-Sud, 15 rue Georges Clémenceau, 91405 Orsay, France.
authors.forename: Y Y
authors.initials: YY
authors.lastname: Atas
authors.forename: E
authors.initials: E
authors.lastname: Bogomolny
keywords: ground-state wave function; multi-fractality; spin chains