# Dresden 2014 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

# HL: Fachverband Halbleiterphysik

## HL 75: Transport: Majorana fermions (organized by TT)

### HL 75.3: Vortrag

### Mittwoch, 2. April 2014, 15:30–15:45, HSZ 03

**Robustness of exchange protocols of Majorana fermions in quantum wire networks** — •Rolf W. Reinthaler^{1}, Chao Lei^{2}, Allan H. MacDonald^{2}, and Ewelina M. Hankiewicz^{1} — ^{1}Faculty of Physics and Astrophysics, University of Würzburg, Würzburg, Germany — ^{2}Department 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