Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 32: Focus Session: Chiral Topological Superconductors and Majorana Fermions

TT 32.4: Invited Talk

Tuesday, March 13, 2018, 11:15–11:45, H 0104

Design of Majorana Modes: From Magnetic Skyrmions to Dimensional Tuning — •Dirk Morr — University of Illinois at Chicago, Chicago, USA

The experimental observation of Majorana bound states in topological superconductors represents a major breakthrough in realizing their applications in topological quantum computing and has stimulated the search for new possibilities to create and manipulate Majorana states at the nanoscale.

In this talk, I discuss the design of Majorana edge states in magnetic-superconducting hybrid structures and the ability to manipulate them through changes in the shape of the system or the creation of the magnetic skyrmions. I show that the tunneling conductance into Majorana edge states is quantized and proportional to the Chern number, C, while the chirality of the supercurrent carried by the Majorana modes reflects the sign of C, providing important insight into the nature of topological phases. Moreover I demonstrate the existence and unconventional spatial structure of superconducting triplet correlations which can be both time reversal (TR) breaking and TR preserving within the same system. Finally, I show that it is possible to continuously tune hybrid systems between 2D and 1D topological phases, and thus to change the character of the associated Majorana modes.