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

TL;DR

This paper proposes using networks of Majorana-Cooper pair boxes connected by nanowires to simulate exotic quantum phases, including spin models and Kondo lattices, highlighting the potential for exploring complex many-body phenomena.

Contribution

It introduces a novel simulation platform using Majorana-Cooper pair boxes to emulate various exotic states of matter, including Kondo lattices and spin models.

Findings

Networks can simulate Kondo and RKKY interactions

Possible realization of Kitaev and generalized models

Focus on Kondo lattice scenarios

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.