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Wentzel-Kramers-Brillouin (WKB) analysis and resonant electron tunneling in α-T<sub>3</sub> lattices

ORAL

Abstract

We have adopted the Wentzel-Kramers-Brillouin (WKB) theory for investigating pseudospin-1 α-T3 materials for arbitrary hopping
parameter 0 < α < 1, including the extreme case when α=1 for the dice lattice. It has been revealed that the solution for this stationary eigenvalue problem has a power series depending on the Planck constant and we also obtained the corresponding semi-classical wave
function. Using these results, we investigated the tunneling of pseudospin-1 Dirac electrons impinging various non-rectangular electrostatic
potential barriers. We will present results for tunneling when optical dressed states arising from an electron interacting
with a non-resonant dressing field with chosen polarization.

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Presenters

  • Liubov Zhemchuzhna

    Hunter college, CUNY, Hunter college

Authors

  • Liubov Zhemchuzhna

    Hunter college, CUNY, Hunter college

  • Andrii Iurov

    Medgar Evers College, Medgar Evers College of City University of New York, Medgar Evers college, Department of Physics and Computer Science, Medgar Evers College of City University of New York, Physics and Astronomy, Medgar Evers College, City University of New York, Medgar Evers College of the City University of New York, Department of Physics, Medgar Evers College of City University of New York

  • Godfrey Gumbs

    Hunter college, CUNY, Hunter College of the City University of New York, Hunter college, Physics and Astronomy, Hunter college, Department of Physics & Astronomy, Hunter College-CUNY, New York, Physics and Astronomy, Hunter college,City University of New York, Department of Physics and Astronomy, Hunter College of the City University of New York, Physics and Astronomy, Hunter College of CUNY, Physics and Astronomy, Hunter College, City University of New York

  • Danhong Huang

    Air Force Research Lab, Air Force Research Laboratory, Kirtland Air Force Base, Albuquerque, NM, Kirtland Air Force Research Lab, Space Vehicles Directorate, Air Force Research Lab - Kirtland, Air Force Research Laboratory, Air Force Research Laboratory, Kirtland Airforce Base, Albuquerque, NM