Bilayer silicene in a magnetic field: spin localization and its effect on the integer and fractional Hall conductivity

ORAL

Abstract

The Hall conductivity of many condensed matter systems presents step structure when a uniform perpendicular magnetic field is applied. We report the emergence of fractions of the Hall conductivity due to the grouping in pairs of an electron with a bilayer silicene sublattice site due to strong spin-orbit coupling. The collective behavior of this pairing causes the conductivity to exhibit steps of e2/h or 4/5 e2/h high for the low-lying spectrum, depending on the dominating sublattices of Landau levels. This coexistence of integer and fractional Quantum Hall States arises from the interplay of lattice geometry, atomic interaction, spin-orbit coupling, and external magnetic field. We also report the significant effect of an external electric field on the evolution of integer and fractional quantum Hall effects.

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Presenters

  • Thi Nga Do

    Dept. of Physics, National Cheng Kung University

Authors

  • Thi Nga Do

    Dept. of Physics, National Cheng Kung University

  • Godfrey Gumbs

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

  • Pohsin Shih

    Dept. of Physics, National Cheng Kung University

  • Danhong Huang

    Air Force Research Lab - Kirtland, Physics, University of New Mexico, Air Force Research Labs., Kirtland Airforce Base, Air Force Research Laboratory, Albuquerque, NM, Advanced E/O Space Sensors Group, Air Force Research Laboratory, US Air Force Research Laboratory, Space Vehicles Directorate, Kirtland AFB, Air Force Research Laboratory