Universal Scaling for Electron Transmission in Nearly Ballistic And Quantum Dragon Nanodevices

摘要: The electrical conductance is proportional to the electron transmission probability T (E F) at the Fermi energy E F when a nanodevice is connected to a source and sink of electrons via long leads. We study via a tight-binding model two types of devices that have T (E)= 1 for all energies that propagate through the attached leads. Ballistic nanodevices have no disorder, and using Bloch wavefunction analysis, have T (E)= 1. A quantum dragon nanodevice has arbitrarily strong correlated disorder but still has T (E)= 1. Adding uncorrelated random site disorder to models for quantum dragon or for ballistic nanodevices one can calculate a transmission T ave (E) that averages over the Fano resonances in T (E). Using NEGF (NonEquilbrium Green's Function) methods, we obtain universalscaling forT ave (E) in two different scaling regimes. The scaling is tested for pure and disordered graphene and single-walled carbon …