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Simulating Exotic Phases of Matter with Bond-Directed Interactions with Arrays of Majorana-Cooper Pair Boxes
1Condensed Matter Physics and Materials Science Division, Brookhaven National Laboratory, Upton, New York 11973-5000, USA.
Abstract:
It is suggested that networks of Majorana-Cooper pair boxes connected by metallic nanowires can simulate various exotic states of matter. In this simulation Majorana-Cooper boxes play the role of effective spins S=1/2 and the metallic connections generate the Kondo screening and the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction. Depending on what prevails-whether it is the Kondo effect or the RKKY exchange, one will have either a Kondo lattice or an effective spin model. The list of exotic states includes the famous hexagonal Kitaev model, a generalization of this model for a Kondo lattice, and various spin models with three-spin interactions. Special emphasis is made on the discussion of the Kondo lattice scenario.
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