Physics Colloquium
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Competition between a band- and a Mott insulator in a chain of Majorana fermions

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.

iletişim: Inanc Adagideli,