Spin liquids from Majorana Zero Modes in a Cooper Box

Understand

We propose a path for constructing diverse interacting spin systems from topological nanowires in Cooper Boxes.

• The wires are grouped into a three-wire building block called an 'hexon', consisting of six Majorana zero modes.
• In the presence of a strong charging energy, the hexon becomes a Cooper box equivalent to two spin-$1/2$ degrees of freedom.
• By considering arrays of hexons and controlling the distances between the various wires, one can tune the Hamiltonian governing the low-energy spins, thus providing a route for controllably constructing interacting spin systems in one- and two-dimensions.