Quantum computing for and universal scaling of NEGF transmission for nearly ballistic and nearly quantum dragon nanodevices

The electrical properties of a nanodevice are related to the electron transmission T(E) for electrons of energy E injected into attached semi-infinite leads. Ballistic nanodevices are translationally invariant and so T(E)=1 for all energies that propagate through attached leads, and can be used for FETs (Field-Effect Transistors), sensors, qubits and quantum gates. A quantum dragon [1,2] has short-range correlated disorder, but still for all these energies have T(E)=1. The NEGF (Non-Equilibrium Green’s Function) method calculates T(E) = Tr(GΓ₁G^†Γ₂) with G(E) the retarded Green’s function. Here the two Γ(E) are broadening function derived from the self energy of each lead. We have devised a quantum algorithm to calculate T(E) using NEGF, and utilized it on small nanodevices. We also report universal scaling [3] perturbation predictions and tests of these predictions for such nanodevices for cases of small added disorder when T(E)≈1. The research is relevant both for carbon-based nanodevices (generalizing carbon nanotubes and ribbons) and other 2D and 3D nanodevices.

[1] M.A. Novotny, Energy-independent total quantum transmission of electrons through nanodevices with correlated disorder, Phys. Rev. B 90, 165103 [14 pages] (2014).

[2] M.A. Novotny, US Patent, #US-11605794-B2 (2023).

[3] M.A. Novotny and T. Novotný, Universal scaling of electron transmission for nearly ballistic and quantum dragon nanodevices, Chaos, Fractals, & Solitons, 199 (2025).