Chiral Majorana Interference in Quantum Anomalous Hall-Superconductor Junctions

ORAL

Abstract

We study the interference of the edge chiral Majorana fermions in junctions of quantum anomalous Hall (QAH) insulators and superconductors (SCs). We show the two chiral Majorana fermions on a QAH edge in contact with an SC generically have a momentum difference $\Delta k$ that depends on the chemical potentials of both the QAH insulator and the SC. Due to the spacial interference induced by $\Delta k$, the longitudinal conductance of normal SC/QAH junctions exhibits an oscillation with respect to the edge lengths and the chemical potentials, which can be measured in transport experiments. Further, we show for QAH/chiral topological SC junctions where there is only one edge chiral Majorana fermion, the dynamical fluctuation of the SC phase yields a geometrical correction to the longitudinal conductance usually derived.

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Authors

  • Biao Lian

    Department of Physics, Stanford University, Stanford University

  • Jing Wang

    Department of Physics, Stanford University, Stanford University

  • Shou-Cheng Zhang

    Department of Physics, Stanford University, stanford university, Stanford University, Stanford Univ