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

Rainer Merkt·Martin Janssen·Bodo Huckestein
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Abstract

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 $ν=2.51\pm 0.18$. Based on a conformal mapping we also calculate the scaling exponent of the typical local density of states $α_0=2.174 \pm 0.003$.

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Rainer Merkt, Martin Janssen, Bodo Huckestein. 1998-03-27. Network Model for a 2D Disordered Electron System with Spin-Orbit Scattering. https://doi.org/10.1103/physrevb.58.4394

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