Regensburg 2016 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 69: Frontiers of Electronic Structure Theory: Focus on Topology and Transport IV
(Joint session of DS, HL, MA, MM, O and TT organized by O)
TT 69.8: Vortrag
Donnerstag, 10. März 2016, 12:45–13:00, H24
Robustness of exchange protocols of Majorana fermions in quantum wire networks — •Christian Tutschku1, Rolf W. Reinthaler1, Chao Lei2, Allan H. MacDonald2, and Ewelina M. Hankiewicz1 — 1Faculty of Physics and Astrophysics, University of Würzburg, Würzburg, Germany — 2Department of Physics, University of Texas at Austin, USA
The interface between topological non-trivial, one-dimensional, spinless p-wave superconductors and the vacuum is connected to the appearance of Majorana edge-modes [1], whose non-trivial exchange statistics makes them promising candidates for topological quantum computation [2]. Via T-Bar structures build of 1D-nanowires we can manipulate and exchange the Majorana fermions 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] and also cure the problem of an appearing additional Majorana-boundstate located at the T-Bar crossing point for small lattice constants. Furthermore we analyze how the robustness of the exchange protocols is affected by non-adiabatic effects or by a finite overlap of the Majorana bound states.
We acknowledge financial support by the DFG within SFB 1170 ToCoTronics.
[1] A. Y. Kitaev, Physics-Uspekhi 44, 131 (2001)
[2] D. A. Ivanov, PRL 86, 268 (2001)
[3] J. Alicea et al., Nature Physics 7, 412 (2011)