Order amidst Disorder in 2D+3D Quantum Dragon Composite Nanodevices with varying Breadth

A disordered quantum dragon nanodevice from a composite of 2D and 3D graphs is constructed. The nanodevice has a different number of atoms in every slice, in other words has a varying breadth. When connected to appropriate uniform semi-infinite leads, the device is shown to be a quantum dragon, namely the transmission probability is unity for all energies of incoming electrons. The device shows order amidst disorder, in that the local density of states as obtained from the Green's function is ordered for the disordered device. For additional uncorrelated on site disorder in the tight-binding model, universal scaling of the average transmission is shown to be an effective analysis method. (paper)