Order amidst disorder for two-dimensional nanoribbons with various boundary conditions

Abstract

We show quantum systems with disordered Hamiltonians may exhibit order in commonly measured quantities. This counter-intuitive situation is demonstrated using a conventional tight binding model for two-dimensional nanoribbons with various boundary conditions. 
The analysis uses the traditional non-equilibrium Green's function (NEGF) methodology for electron transport. We study quantum dragon nanodevices that exhibit order amidst disorder. Each disordered Hamiltonian nanodevice shows order in both the bond currents and the local density of states (LDOS) of the propagating electrons.