Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1997-10-28
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, Figures included
Scientific paper
We demonstrate that network models for wave mechanical systems with quenched disorder cover the physics of mesoscopic electrons. The models are constructed as a network of random scattering matrices connecting incoming to outgoing wave amplitudes. The corresponding wave dynamics is given by a discrete unitary time evolution operator. We report on three different universality classes: two-dimensional, spinless, non-chiral electrons with (O2NC) and without time reversal symmetry (U2NC), and two-dimensional, non-chiral electrons with time reversal symmetric spin-scattering (S2NC). We determine the phase diagram in the parameter space of scattering strengths. The O/U2NC models show strong localization. We find symmetry factors in localization lengths as well as multifractal exponents in agreement with theoretical predictions. The S2NC model displays a localization-delocalization transition. We determine the critical exponent of the localization length and the multifractal scaling exponent of the order parameter to be $\nu \approx 2.4$ and $\alpha_0\approx 2.18$, respectively.
Freche Peter
Janssen Martin
Merkt Rainer
No associations
LandOfFree
Two-dimensional disordered electron systems: a network model approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Two-dimensional disordered electron systems: a network model approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-dimensional disordered electron systems: a network model approach will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-481859