A

Report on 2104.03373v2

Abstract

Three-dimensional topological insulators (TIs) host helical Dirac surface states at the interface with a trivial insulator.In quasi-one-dimensional TI nanoribbon structures the wave function of surface charges extends phase-coherently along the perimeter of the nanoribbon, resulting in a quantization of transverse surface modes.Furthermore, as the inherent spin-momentum locking results in a Berry phase offset of π of self-interfering charge carriers an energy gap within the surface state dispersion appears and all states become spin-degenerate.We investigate and compare the magnetic field dependent surface state dispersion in selectively deposited Bi 2 Te 3 TI micro-and nanoribbon structures by analysing the gate voltage dependent magnetoconductance at cryogenic temperatures.While in wide microribbon devices the field effect mainly changes the amount of bulk charges close to the top surface we identify coherent transverse surface states along the perimeter of the nanoribbon devices responding to a change in top gate potential.We quantify the energetic spacing in between these quantized transverse subbands by using an electrostatic model that treats an initial difference in charge carrier densities on the top and bottom surface as well as remaining bulk charges.In the gate voltage dependent transconductance we find oscillations that change their relative phase by π at half-integer values of the magnetic flux quantum applied coaxial to the nanoribbon, which is a signature for a magnetic flux dependent topological phase transition in narrow, selectively deposited TI nanoribbon devices.

Authors 11

  1. Forschungszentrum Jülich · Jülich Aachen Research Alliance · RWTH Aachen University

    Affiliation as printed

    JARA-Fundamentals of Future Information Technology , Jülich-Aachen Research Alliance , Forschungszentrum Jülich and RWTH Aachen University , Germany

    Peter Grünberg Institute (PGI-9) , Forschungszentrum Jülich , 52425 Jülich , Germany

    Forschungszentrum Jülich and RWTH Aachen University, Germany

    JARA-Fundamentals of Future Information Technology, Jülich-Aachen Research Alliance,

    Peter Grünberg Institute (PGI-9), Forschungszentrum Jülich, 52425 Jülich, Germany

  2. Forschungszentrum Jülich

    Affiliation as printed

    Peter Grünberg Institute (PGI-9) , Forschungszentrum Jülich , 52425 Jülich , Germany

    Peter Grünberg Institute (PGI-9), Forschungszentrum Jülich, 52425 Jülich, Germany

  3. Forschungszentrum Jülich

    Affiliation as printed

    Peter Grünberg Institute (PGI-9) , Forschungszentrum Jülich , 52425 Jülich , Germany

    Peter Grünberg Institute (PGI-9), Forschungszentrum Jülich, 52425 Jülich, Germany

  4. Forschungszentrum Jülich · Jülich Aachen Research Alliance · RWTH Aachen University

    Affiliation as printed

    JARA-Fundamentals of Future Information Technology , Jülich-Aachen Research Alliance , Forschungszentrum Jülich and RWTH Aachen University , Germany

    Peter Grünberg Institute (PGI-9) , Forschungszentrum Jülich , 52425 Jülich , Germany

    Forschungszentrum Jülich and RWTH Aachen University, Germany

    JARA-Fundamentals of Future Information Technology, Jülich-Aachen Research Alliance,

    Peter Grünberg Institute (PGI-9), Forschungszentrum Jülich, 52425 Jülich, Germany

  5. Forschungszentrum Jülich

    Affiliation as printed

    Peter Grünberg Institute (PGI-9) , Forschungszentrum Jülich , 52425 Jülich , Germany

    Peter Grünberg Institute (PGI-9), Forschungszentrum Jülich, 52425 Jülich, Germany

  6. Forschungszentrum Jülich

    Affiliation as printed

    Peter Grünberg Institute (PGI-9) , Forschungszentrum Jülich , 52425 Jülich , Germany

    Peter Grünberg Institute (PGI-9), Forschungszentrum Jülich, 52425 Jülich, Germany

  7. Forschungszentrum Jülich

    Affiliation as printed

    Peter Grünberg Institute (PGI-9) , Forschungszentrum Jülich , 52425 Jülich , Germany

    Peter Grünberg Institute (PGI-9), Forschungszentrum Jülich, 52425 Jülich, Germany

  8. Forschungszentrum Jülich

    Affiliation as printed

    Peter Grünberg Institute (PGI-9) , Forschungszentrum Jülich , 52425 Jülich , Germany

    Peter Grünberg Institute (PGI-9), Forschungszentrum Jülich, 52425 Jülich, Germany

  9. Forschungszentrum Jülich · Jülich Aachen Research Alliance · RWTH Aachen University

    Affiliation as printed

    Forschungszentrum Jülich and RWTH Aachen University, Germany

    JARA-Fundamentals of Future Information Technology, Jülich-Aachen Research Alliance,

    Peter Grünberg Institute (PGI-9), Forschungszentrum Jülich, 52425 Jülich, Germany

  10. Forschungszentrum Jülich · Jülich Aachen Research Alliance · RWTH Aachen University

    Affiliation as printed

    JARA-Fundamentals of Future Information Technology , Jülich-Aachen Research Alliance , Forschungszentrum Jülich and RWTH Aachen University , Germany

    Peter Grünberg Institute (PGI-9) , Forschungszentrum Jülich , 52425 Jülich , Germany

    Forschungszentrum Jülich and RWTH Aachen University, Germany

    JARA-Fundamentals of Future Information Technology, Jülich-Aachen Research Alliance,

    Peter Grünberg Institute (PGI-9), Forschungszentrum Jülich, 52425 Jülich, Germany

  11. Forschungszentrum Jülich · Jülich Aachen Research Alliance · RWTH Aachen University

    Affiliation as printed

    JARA-Fundamentals of Future Information Technology , Jülich-Aachen Research Alliance , Forschungszentrum Jülich and RWTH Aachen University , Germany

    Peter Grünberg Institute (PGI-9) , Forschungszentrum Jülich , 52425 Jülich , Germany

    Forschungszentrum Jülich and RWTH Aachen University, Germany

    JARA-Fundamentals of Future Information Technology, Jülich-Aachen Research Alliance,

    Peter Grünberg Institute (PGI-9), Forschungszentrum Jülich, 52425 Jülich, Germany

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References 46