Multifractality of eigenfunctions in spin chains

Yasar Yilmaz Atas (1) , Eugene Bogomolny (1)

1 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques

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.

Domaines: Mécanique statistique [cond-mat.stat-mech]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Yasar Yilmaz Atas, Eugene Bogomolny. Multifractality of eigenfunctions in spin chains. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2012, 86, pp.021104. ⟨10.1103/PhysRevE.86.021104⟩. ⟨hal-00702547⟩