Possibility of coherent electron transport in a nanoscale circuit
- URL: http://arxiv.org/abs/2009.12676v1
- Date: Sat, 26 Sep 2020 19:50:56 GMT
- Title: Possibility of coherent electron transport in a nanoscale circuit
- Authors: Mark J. Hagmann
- Abstract summary: In some nanoscale circuits, the electron mean-free path may be as long as 68 nm in metals.
We consider the use of single-crystal wires, and include a tunneling junction to focus and collimate the electrons near the axis.
Our simulations suggest that, in addition to the incoherent phenomena, there are extremely sharply-defined coherent modes in nanoscale circuits.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Others have solved the Schr\"odinger equation to estimate the tunneling
current between two electrodes at specified potentials, or the transmission
through a potential barrier, assuming that an incident wave causes one
reflected wave and one transmitted wave. However, this may not be appropriate
in some nanoscale circuits because the electron mean-free path may be as long
as 68 nm in metals. Thus, the wavefunction may be coherent throughout the metal
components in a circuit if the interaction of the electrons with the surface of
conductors and grain boundaries, which reduces the mean-free path, is reduced.
We consider the use of single-crystal wires, and include a tunneling junction
to focus and collimate the electrons near the axis, to further reduce their
interaction with the surface of the wire. Our simulations suggest that, in
addition to the incoherent phenomena, there are extremely sharply-defined
coherent modes in nanoscale circuits. Algorithms are presented with examples to
determine the sets of the parameters for these modes. Other algorithms are
presented to determine the normalized coefficients in the wavefunction and the
distribution of current in the circuits. This is done using only algebra with
calculus for analytical solutions of the Schr\"odinger equation.
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