The standard short-ranged single-orbital tight binding model, analyzed using standard NEGF (Non-Equilibrium Green’s Function) methods, is used to study electron transport in unconventional disordered 2D, 3D, and 2D+3D nanodevices. The model and methods are the same as are used to study ballistic electron propagation in the ordered systems of metallic carbon nanotubes and graphene nanoribbons. For ballistic electron transport, the transmission probability T(E) = 1 for all injected electron energies E that propagate through attached thin leads. Quantum dragon nanodevices, and nanodevices that are almost quantum dragons, are studied. A quantum dragon nanodevice [1] has T(E) = 1 for all E, even though the device may have strong disorder in the tight binding parameters. Quantum dragon nanodevices may exhibit order-amidst-disorder [2], where the Hamiltonian is strongly disordered but commonly measured quantities such as bond currents and the projected local density of states (LDOS) are ordered. Starting from a thin 2D nano-ribbon and using allowed operations of cutting, twisting, sewing, and braiding can give very tatty quantum dragon nanodevices. We derive and demonstrate two different regimes of universal scaling for all nanodevices that are almost quantum dragon nanodevices.

References:
[1] M.A. Novotny, Phys. Rev B 90, 165103 (2014).
[2] M.A. Novotny, G. Inkoom, and T. Novotný, EuroPhysics Lett. 143, 26005 (2023).