Regensburg 2013 – scientific programme
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MA: Fachverband Magnetismus
MA 46: Topological Insulators 5 (jointly with DS, HL, MA, and O)
MA 46.2: Talk
Friday, March 15, 2013, 09:45–10:00, H18
Strongly interacting Majorana modes in an array of Josephson junctions — Fabian Hassler1 and •Dirk Schuricht2 — 1Institute for Quantum Information, RWTH Aachen University — 2Institute for Theory of Statistical Physics, RWTH Aachen University
An array of superconducting islands with semiconducting nanowires in the right regime provides a macroscopic implementation of Kitaev's toy model for Majorana wires. We show that a capacitive coupling between adjacent islands leads to an effective interaction between the Majorana modes. We demonstrate that even though strong repulsive interaction eventually drive the system into a Mott insulating state the competition between the (trivial) band-insulator and the (trivial) Mott insulator leads to an interjacent topological insulating state for arbitrary strong interactions.