1998/03/27 by Rainer Merkt, Martin Janssen, Martin Janßen +1
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.58.4394
published as Phys. Rev. B 58, 4394--4405 (1998) · 12 pages, 15 figures, RevTeX
arxiv created 1998/03/27 · openalex publication_date 1998/08/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We introduce a network model to describe two-dimensional disordered electron systems with spin-orbit scattering. The network model is defined by a discrete unitary time-evolution operator. We establish by numerical transfer matrix calculations that the model exhibits a localization-delocalization transition. We determine the corresponding phase diagram in the parameter space of disorder scattering strength and spin-orbit scattering strength. Near the critical point we determine by statistical analysis a one-parameter scaling function and the critical exponent of the localization length to be \ensuremathν=2.51\ifmmode±\else\textpm\fi0.18. Based on a conformal mapping we also calculate the scaling exponent of the typical local density of states \ensuremathα0=2.174\ifmmode±\else\textpm\fi0.003.