Quantum Dragon Solutions for Electron Transport through Nanostructures based on Rectangular Graphs

TL;DR

This paper investigates quantum dragon nanodevices with perfect electron transmission in rectangular nanostructures, revealing conditions for achieving ideal conductance despite scattering, through specific lead connections and correlated randomness.

Contribution

It demonstrates that rectangular single-layer nanostructures can function as quantum dragons with perfect conductance, under specific lead connections and correlated disorder, expanding the understanding of electron transport.

Findings

Quantum dragon conditions enable perfect transmission ${ m T}(E)=1$.

Rectangular nanostructures can act as quantum dragons with appropriate configurations.

Correlated randomness is essential for quantum dragon behavior.

Abstract

Electron transport through nanodevices of atoms in a single-layer rectangular arrangement with free (open) boundary conditions parallel to the direction of the current flow is studied within the single-band tight binding model. The Landauer formula gives the electrical conductance to be a function of the electron transmission probability, ${\cal T}(E)$, as a function of the energy $E$ of the incoming electron. A quantum dragon nanodevice is one which has a perfectly conducting channel, namely ${\cal T}(E)=1$ for all energies which are transmitted by the external leads even though there may be arbitrarily strong electron scattering. The rectangular single-layer systems are shown to be able to be quantum dragon devices, both for uniform leads and for dimerized leads. The quantum dragon condition requires appropriate lead-device connections and correlated randomness in the device.