Multifractality of eigenfunctions in spin chains

Yasar Yilmaz Atas ¹, Eugene Bogomolny ¹

Physical Review E 86 (2012) 021104

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.

• 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
  CNRS : UMR8626 – Université Paris XI – Paris Sud