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

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 7; Related Information: CHORUS Timestamp: 2018-02-09 10:13:45; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Davids, Paul S., and Shank, Joshua. Density matrix approach to photon-assisted tunneling in the transfer Hamiltonian formalism. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.075411.
Davids, Paul S., & Shank, Joshua. Density matrix approach to photon-assisted tunneling in the transfer Hamiltonian formalism. United States. doi:10.1103/PhysRevB.97.075411.
Davids, Paul S., and Shank, Joshua. 2018. "Density matrix approach to photon-assisted tunneling in the transfer Hamiltonian formalism". United States. doi:10.1103/PhysRevB.97.075411.
title = {Density matrix approach to photon-assisted tunneling in the transfer Hamiltonian formalism},
author = {Davids, Paul S. and Shank, Joshua},
abstractNote = {},
doi = {10.1103/PhysRevB.97.075411},
journal = {Physical Review B},
number = 7,
volume = 97,
place = {United States},
year = 2018,
month = 2

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on February 9, 2019
Publisher's Accepted Manuscript

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  • Based on a trasfer-matrix formalism, photon-assisted tunneling is studied in a strongly driven double-barrier tunneling diode. Two scenarios are considered: A driving potential [ital V][sub 1]cos([omega][ital t]) acting on the central quantum well, which may be realized with electrostatic gates close to the quantum well, and a driving electric field across the diode generated by a laser field. Strong quenching of the transmission probability is found for certain parameters [l brace][ital V][sub 1],[omega][r brace] of the driving field, which can be explained in terms of zeros of fractional Bessel functions, [ital J][sub [plus minus][nu]]([gamma][ital V][sub 1]/[h bar][omega]), where [gamma] ismore » a structural parameter. The effect shows a strong similarity to the coherent destruction of tunneling'' recently found in strongly driven quartic double wells.« less
  • Fractional-photon-assisted tunneling is investigated both analytically and numerically for few interacting ultracold atoms in the double wells of an optical superlattice. This can be realized experimentally by adding periodic shaking to an existing experimental setup [Cheinet et al., Phys. Rev. Lett. 101, 090404 (2008)]. Photon-assisted tunneling is visible in the particle transfer between the wells of the individual double wells. In order to understand the physics of the photon-assisted tunneling, an effective model based on the rotating-wave approximation is introduced. The validity of this effective approach is tested for wide parameter ranges that are accessible to experiments in double-well lattices.more » The effective model goes well beyond previous perturbation theory approaches and is useful for investigating in particular the fractional-photon-assisted tunneling resonances. Analytic results on the level of the experimentally realizable two-particle quantum dynamics show very good agreement with the numerical solution of the time-dependent Schroedinger equation. Far from being a small effect, both the one-half-photon and the one-third-photon resonances are shown to have large effects on the particle transfer.« less
  • We have developed a theoretical model of photoinduced reactions on metal surfaces initiated by the substrate/indirect excitation mechanism using the nonequilibrium Green's function approach. We focus on electron transfer, which consists of (1) electron-hole pair creation, (2) transport of created hot electrons, and (3) tunneling of hot electrons to form an anion resonance. We assume that steps (1), (2), and (3) are separable. By this assumption, the electron dynamics might be restated as a tunneling problem of an open system. Combining the Keldysh time-independent formalism with the simple transport theory introduced by Berglund and Spicer, we present a practical schememore » for first-principle calculation of the reaction probability as a function of incident photon energy. The method is illustrated by application to the photoinduced desorption/dissociation of O{sub 2} on a Ag(110) surface by adopting density functional theory.« less
  • We modeled a tunneling current in a p-n junction based on armchair graphene nanoribbons (AGNRs) by using an Airy function approach (AFA) and a transfer matrix method (TMM). We used ╬▓-type AGNRs, in which its band gap energy and electron effective mass depends on its width as given by the extended Huckel theory. It was shown that the tunneling currents evaluated by employing the AFA are the same as those obtained under the TMM. Moreover, the calculated tunneling current was proportional to the voltage bias and inversely with temperature.