Hofstadter Butterfly Formation for Modulated Graphene

ORAL

Abstract

A two-dimensional (2D) periodic array of scatterers has been introduced to monolayer graphene in the presence of a uniform perpendicular magnetic field. The corresponding eigenvalue equation has been solved numerically to display the mixing of Landau orbits to form minibans. Comparison of the Hofstadter butterfly in graphene is made with that in modulated 2D electron gas (EG). Additionally, we calculated the \textit{density-of-states} in the low, intermediate and high magnetic field regimes. The results reflect the effect of Landau level structure in the three regimes and specifically the fractal structure at intermediate magnetic fields.

–

Authors

  • Godfrey Gumbs

    • Hunter College CUNY and Donostia International Physics Center (DIPC), San Sebastian, Spain
    • Hunter College, CUNY and Donostia International Physics Center (DIPC), San Sebastian, Spain
    • Hunter College, CUNY and Donostia International Physics Center (DIPC), San Sebastian Spain
    • Department of Physics and Astronomy, Hunter College of the City University of New York, 695 Park Avenue, New York, NY 10065, USA
    • Hunter college, CUNY and Donostia International Physics Center (DIPC)

  • Andrii Iurov

    • Hunter College CUNY
    • Hunter College, CUNY
    • Hunter college, CUNY

  • Danhong Huang

    • Air Force Research Laboratory
    • US Air Force Research Laboratory
    • Kirtland AFRL

  • Paula Fekete

    • United States Military Academy, West Point, NY

  • Liubov Zhemchuzhna

    • North Carolina Central University, Durham, NC