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MA: Fachverband Magnetismus

MA 46: Topological Insulators 5 (jointly with DS, HL, MA, and O)

MA 46.2: Vortrag

Freitag, 15. März 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.