Simulating exotic phases of matter with bond-directed interactions with arrays of Majorana-Cooper pair boxes

Abstract

It is suggested that networks of Majorana-Cooper pair boxes connected by metallic nanowires can simulate various exotic states of matter. In this simulations 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 an effective spin model or a Kondo lattice. The list of exotic stets includes the famous hexagonal Kitaev model, a generalization of this model for a Kondo lattice and various spin models with three-spin interactions. A special emphasize is made on the discussion of the Kondo lattice scaenario.

7 pages, 7 figures, typos removed, explanations added

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Cited by in corpus (1)

• Designing ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ topological orders in networks of Majorana bound states