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

• URL: http://arxiv.org/abs/2005.14614v1
• Date: Sat, 9 May 2020 20:44:44 GMT
• Title: Simple and accurate method to simulate resistors and wires in a nanoscale circuit
• Authors: Mark J. Hagmann and Logan D. Gibb
• Abstract summary: The wavefunction may propagate coherently through wires corresponding to the lines that show the potential. A voltage source may be modeled as a jump in the potential. The resistance may be determined by dividing this voltage drop by the product of the calculated current density and the effective cross-sectional area.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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