Composite Fermions and Parton Wavefunctions in Graphene van der Waals Heterostructures

POSTER

Abstract



In a graphene-hexagonal Boron nitride (hBN) heterostructure, the presence of the hBN layer can lead to a gap and the breaking of the symmetry between carbon sublattices, with multicomponent fractional quantum Hall effect (FQHE) due to the electrons’ correlation. We report on the FQHE at filling factors ν = η/3 with ν > 1, and on the composite fermions (CFs) at in the ν < 1 lowest landau Level ν = 4/5, 5/7 and 2/3, which belong to the series of integral quantum Hall effect (IQHE) of CF electrons at ν = p/(2mp ± 1) and ν = 1- p/(2mp ± 1) for CF holes, where 2m is the number of magnetic flux quanta attached to the CF, or vorticity. Here we focus on the ν = 2/3 fraction and his description with a partons’ wave function; in this model the electron is broken down into sub-particles, the partons, each one residing in an IQHE state, fictitious particles that glued back together recover the physical electrons.

*This work has been funded by projects PNRR-PE0000023-NQSTI, MICINN-FEDER PID2019-106820RB-C21/22, PGC2018-094180-B-I00, INFN Quantep and JCYL SA121P20. A.P-R acknowledges funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska Curie-COFUND within the USAL4Excellence program (grant agreement 101034371). Part of this work was supported by HFMLRU/NWO-I, member of the European Magnetic Field Laboratory (EMFL).

Publication: To be submitted to the Phys Rev family

Presenters

  • Mario Amado

    • Univ de Salamanca

Authors

  • Mario Amado

    • Univ de Salamanca

  • Juan Salvador-Sánchez

    • Universtiy of Salamanca
    • Univ. de Salamanca
    • Universidad de Salamanca

  • Ana Pérez-Rodríguez

    • University of Salamanca
    • Univ de Salamanca
    • Universidad de Salamanca

  • Vito Clericò

    • University of Salamanca
    • Univ de Salamanca

  • oleksandr zheliuk

    • High Field Magnet Laboratory (HFML-EMFL), Radboud University

  • Uli Zeitler

    • High Field Magnet Laboratory (HFML-EMFL), Radboud University

  • Takashi Taniguchi

    • Kyoto Univ
    • National Institute for Materials Science
    • Research Center for Materials Nanoarchitectonics
    • Research Center for Materials Nanoarchitectonics, National Institute for Materials Science
    • National Institute for Materials Sciences
    • NIMS
    • International Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
    • National Institute for Material Science
    • International Center for Materials Nanoarchitectonics, NIMS, Japan
    • International Center for Materials Nanoarchitectonics, Tsukuba
    • National Institue for Materials Science
    • Kyoto University
    • National Institute of Materials Science
    • International Center for Materials Nanoarchitectonics and National Institute for Materials Science

  • Kenji Watanabe

    • National Institute for Materials Science
    • NIMS
    • Research Center for Electronic and Optical Materials, National Institute for Materials Science
    • Research Center for Functional Materials, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
    • National Institute for Material Science

  • Enrique Diez

    • Univ de Salamanca

  • Vittorio Bellani

    • Univ Degli Studi Di Pavia