Network Model for a 2D Disordered Electron System with Spin-Orbit Scattering

Details Network Model for a 2D Disordered Electron System with Spin-Orbit Scattering Network Model for a 2D Disordered Electron System with Spin-Orbit Scattering

1998-03-27

arxiv.org/abs/cond-mat/9803342v1

Phys. Rev. B 58, 4394--4405 (1998)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 15 figures, RevTeX

Scientific paper

10.1103/PhysRevB.58.4394

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 $\nu=2.51\pm 0.18$. Based on a conformal mapping we also calculate the scaling exponent of the typical local density of states $\alpha_0=2.174 \pm 0.003$.

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