Dresden 2017 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 33: Transport: Majorana Fermions

TT 33.5: Talk

Tuesday, March 21, 2017, 15:00–15:15, HSZ 204

Fano resonances in transport through Majorana networks — •Alexander Schuray, Luzie Weithofer, and Patrik Recher — TU Braunschweig, Institute of Mathematical Physics

Electronic transport experiments with nanowires in proximity to a superconductor [1] suggest the existence of exotic emergent particles namely Majorana bound states (MBS), which are promising candidates for topological quantum computation [2].

Transport experiments using quantum dots (QDs) coupled to MBS have been proposed [3] as the parameters of the dot may be a handle to find unique signatures of the MBS. In contrast to these previous works, we study a system in which a one dimensional topological superconductor is contacted with a normal conducting lead at one end and a QD at its other end. To obtain the transport properties of such a setup we use a Keldysh Green’s function method [4]. We show that in this setup two Fano resonances which are symmetric with respect to the energy level of the QD arise. Moreover, this symmetry is only destroyed by long range tunneling terms and so is a unique signature of the topologically protected MBS. Furthermore, we verify our effective model calculations with numerical results for a Kitaev chain.

[1] V. Mourik et al., Science 336, 1003 (2012)

[2] T. Karzig et al., arXiv:1610.05289 (2016)

[3] M. Leijnse, and K. Flensberg, Phys. Rev. B 84, 1400501 (2011)

[4] L. Weithofer, P. Recher, and T. L. Schmidt, Phys. Rev. B 90, 205416 (2014)