Stabilizing a Majorana Zero Mode through Frustration

ORAL

Abstract

We show that a Majorana zero mode can be stabilized by hybridizing its partner with a two channel Kondo (2CK) state. Frustration inherent in the 2CK state leads to a decoupled Majorana degree of freedom which can naturally hybridize with one of a pair of Majorana modes in a topological superconducting wire, thereby leaving an unpaired Majorana zero mode at the other end of the wire. Concretely, the system that we study consists of two (left and right) on-resonant quantum dots that couple to two interacting Majorana fermions on the same grounded topological superconducting wire. The right dot is connected to two dissipative leads with $R = R_Q$, thus creating an effective 2CK state with an isolated Majorana zero mode on the dot. The left dot is connected to two regular leads and the transmission through it is monitored. We find that the coupling between the isolated dot Majorana and the Majorana in the superconducting wire stabilizes the non-trivial Majorana transmission signature of the left system. This also provides a clear signature of the presence of the 2CK Majorana.

Presenters

  • Gu Zhang

    Department of Physics, Duke University

Authors

  • Gu Zhang

    Department of Physics, Duke University

  • Harold Baranger

    Department of Physics, Duke University, Department of Physics, Duke Univ, Duke Univ