Consistent analytical solution of the time-dependent Schr "odinger\n equation for nanoscale circuits with laser-assisted quantum tunneling

2020/06/08 by Mark J. Hagmann, Hagmann, Mark J., Logan D. Gibb +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Molecular Junctions and Nanostructures #Photonic and Optical Devices #Quantum Physics (quant-ph) #Semiconductor materials and devices

paper · pdf · doi:10.48550/arxiv.2006.04956

openalex publication_date 2020/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is now common practice to solve the Schr "odinger equation to estimate the\ntunneling current between two metal electrodes at specified potentials, or the\ntransmission through a potential barrier by assuming an incident, reflected,\nand transmitted wave. However, we suggest that these methods may not be\nappropriate for nanoscale circuits. The electron man-free path may be as long\nas 68.2 nm in metallic elements so we consider the possibility that quantum\neffects may occur throughout a nanoscale circuit, including the connections.\nAnalytical methods are presented for modeling the coherent transfer of the\nwavefunction through a closed circuit.\n

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