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.

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