Two-dimensional disordered electron systems: a network model approach

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dc.creatorFreche, Peter
dc.creatorJanssen, Martin
dc.creatorMerkt, Rainer
dc.date1997-10-28
dc.date.accessioned2026-07-07T03:09:20Z
dc.date.available2026-07-07T03:09:20Z
dc.descriptionWe 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 $ν\approx 2.4$ and $α_0\approx 2.18$, respectively.
dc.description4 pages, Figures included
dc.identifierhttps://arxiv.org/abs/cond-mat/9710297
dc.identifierhttp://arxiv.org/abs/cond-mat/9710297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27847
dc.subjectMesoscale and Nanoscale Physics
dc.titleTwo-dimensional disordered electron systems: a network model approach
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