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Dresden 2014 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 71: Transport: Majorana Fermions (organized by TT)

TT 71.3: Talk

Wednesday, April 2, 2014, 15:30–15:45, HSZ 03

Robustness of exchange protocols of Majorana fermions in quantum wire networks — •Rolf W. Reinthaler1, Chao Lei2, Allan H. MacDonald2, and Ewelina M. Hankiewicz11Faculty of Physics and Astrophysics, University of Würzburg, Würzburg, Germany — 2Department of Physics, University of Texas at Austin, USA

The ends of one-dimensional spinless p-wave superconductors support Majorana bound states [1], whose non-trivial exchange statistics makes them promising candidates for topological quantum computation [2]. The huge advantage of using networks of 1D nano wires is that the Majorana fermions can be manipulated and exchanged by purely electrical means [3]. By applying a tight binding approach we solve the time dependent Bogoliubov-de Gennes equations for the Kitaev chain model [1]. We analyze how the robustness of the exchange protocols is affected by non-adiabatic effects as well as by a finite overlap of the Majorana bound states.

We acknowledge financial support by the DFG grant HA 5893/3-1.
A. Y. Kitaev, Physics-Uspekhi 44 (2001) 131
D. A. Ivanov, PRL 86 (2001) 268
J. Alicea et al., Nature Physics 7 (2011) 412

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