Simple and accurate method to simulate resistors and wires in a nanoscale circuit

TL;DR

This paper introduces a simple and precise method for simulating resistors and wires in nanoscale circuits by modeling potential drops and calculating resistance based on quantum wavefunction propagation.

Contribution

It proposes a novel approach to incorporate resistors and wires into quantum simulations of nanoscale circuits using potential modeling techniques.

Findings

Effective modeling of voltage drops across resistors.

Accurate simulation of wavefunction propagation in nanoscale wires.

Method aligns with quantum mechanical principles for circuit elements.

Abstract

In solving the Schr\"odinger equation to simulate a nanoscale circuit, we note that the mean free path for electrons in some metals is as large as 48 nm. Thus, the wavefunction may propagate coherently through wires corresponding to the lines that show the potential outside of the tunneling junction. A voltage source may be modeled as a jump in the potential. Similarly, the potential across a resistor may be modeled as a sharp drop or a downward sloping line to show a decrease in the potential. Then the resistance may be determined by dividing this voltage drop by the product of the calculated current density and the effective cross-sectional area.