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- 12 models are multi-fractals in the natural spin-z basis. We present here the details of analytical derivations and numerical confirmations of this statement. © 2013 The Author(s) Published by the Royal Society. All rights reserved.
Atas, Y. Y., & Bogomolny, E. (2014). Calculation of multi-fractal dimensions in spin chains. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 372(2007). https://doi.org/10.1098/rsta.2012.0520