Freiburg 2019 – wissenschaftliches Programm
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FM: Fall Meeting
FM 19: Topology: Majoranas
FM 19.4: Talk
Montag, 23. September 2019, 17:30–17:45, 1199
Transport signatures of electron-tunneling-assisted non-Abelian braiding — Sunghun Park1, Heung-Sun Sim2, and •Patrik Recher3 — 1Departamento de Física Teórica de la Materia Condensada, Condensed Matter Physics Center (IFIMAC) and Instituto Nicolás Cabrera, Universidad Autónoma de Madrid, Spain — 2Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea — 3Institute for Mathematical Physics, TU Braunschweig, D-38106 Braunschweig, Germany
We present a theory of coherent time-dependent electron tunneling from a metal tip into a Corbino geometry topological Josephson junction where four Majorana bound states (MBSs) rotate. The time averaged tunneling conductance exhibits, as a function of bias voltage between the tip and the Josephson junction, distinctive conductance peaks that are separated by h/(4 TJ) (where TJ is the time period of the system Hamiltonian). This separation is a result of interference between processes where electron tunneling between the tip and the junction interrupts the rotation of the MBSs after different number of round trips. The interference effect is shown to be a direct consequence of two non-commuting braiding operations—a rotation of the four MBSs along the Josephson junction and a tunneling assisted rotation—reflecting the non-Abelian nature of MBSs. This mechanism of non-Abelian state evolution actively utilizes electron tunneling that changes the fermion occupation number parity of the system rather than avoiding it while the MBSs are spatially decoupled from each other and hence are not fused physically.