Calculation of multifractal dimensions in spin chains

Y. Y. Atas 1 E. Bogomolny 1

Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences, Royal Society, The, 2014, 372, pp.20120520

It was demonstrated in [Phys. Rev. E 86, 021104, (2012)], that the ground-state wave functions for a large variety of one-dimensional spin-1/2 models are multifractals in the natural spin-z basis. We present here the details of analytical derivations and numerical confirmations of these results.

  • 1. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques