Wentzel-Kramers-Brillouin (WKB) semiclassical equations for alpha-T_3 materials

POSTER

Abstract

We have derived Wentzel-Kramers-Brillouin (WKB) semiclassical equations for the pseudospin-1 Dirac Hamiltonian for arbitrary α − T3 materials with hopping parameters 0 < α < 1. We have both derived the analytical expression for the semiclassical states and the transport equations connecting different orders of the hbar-expansion of the sought wave function. Our obtained results have several crucial applications. These include  approximate evaluation of electron transmission and reflection over a non-square potential barrier with a non-linear potential profile.

*A.I. would like to acknowledge the funding received from TRADA-52-113 PSC-CUNY Award # 64076-00-52.

Presenters

  • Andrii Iurov

    • The City College of New York
    • Medgar Evers College
    • Medgar Evers College, CUNY
    • Medgar Evers college and Hunter college, CUNY

Authors

  • Andrii Iurov

    • The City College of New York
    • Medgar Evers College
    • Medgar Evers College, CUNY
    • Medgar Evers college and Hunter college, CUNY

  • Kathy Blaise

    • Medgar Evers college

  • Chinedu Ejiogu

    • Medgar Evers college, CUNY

  • Andrii Iurov

    • The City College of New York
    • Medgar Evers College
    • Medgar Evers College, CUNY
    • Medgar Evers college and Hunter college, CUNY

  • Godfrey A Gumbs

    • Hunter College of CUNY
    • Hunter college, City University of New York
    • Hunter College
    • City College of New York

  • Danhong Huang

    • Air Force Research Lab - Kirtland