Density matrix approach to photon-assisted tunneling in the transfer Hamiltonian formalism

Davids, Paul S.; Shank, Joshua

doi:10.1103/PhysRevB.97.075411

Density matrix approach to photon-assisted tunneling in the transfer Hamiltonian formalism

Journal Article · Thu Feb 08 23:00:00 EST 2018 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.97.075411· OSTI ID:1465798

Davids, Paul S. ^[1]; Shank, Joshua ^[1]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

The transfer Hamiltonian tunneling current is derived in a time-dependent density matrix formulation and is used to examine photon-assisted tunneling. Bardeen's tunneling expression arises as the result of first-order perturbation theory in a mean-field expansion of the density matrix. Photon-assisted tunneling from confined electromagnetic fields in the forbidden tunnel barrier region occurs due to time-varying polarization and wave-function overlap in the gap which leads to a nonzero tunneling current in asymmetric device structures, even in an unbiased state. The photon energy is seen to act as an effective temperature-dependent bias in a uniform barrier asymmetric tunneling example problem. Higher-order terms in the density matrix expansion give rise to multiphoton enhanced tunneling currents that can be considered an extension of nonlinear optics where the nonlinear conductance plays a similar role as the nonlinear susceptibilities in the continuity equations.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1465798

Alternate ID(s):: OSTI ID: 1420017

Report Number(s):: SAND--2017-11873J; 663116

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 7 Vol. 97; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Power Generation from a Radiative Thermal Source Using a Large-Area Infrared Rectenna Shank, Joshua; Kadlec, Emil A.; Jarecki, Robert L. Physical Review Applied, Vol. 9, Issue 5 https://doi.org/10.1103/physrevapplied.9.054040	journal	May 2018
Electrical power generation from moderate-temperature radiative thermal sources Davids, Paul S.; Kirsch, Jared; Starbuck, Andrew Science, Vol. 367, Issue 6484 https://doi.org/10.1126/science.aba2089	journal	February 2020
Power generation from a radiative thermal source using a large-area infrared rectenna Shank, Joshua; Kadlec, Emil A.; Jarecki, Robert L. arXiv https://doi.org/10.48550/arxiv.1801.02544	text	January 2018

Figures / Tables (2)

FIG. 1.(p. 5)

FIG. 2.(p. 6)

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