Multi-impurity chiral Kondo model: correlation functions and anyon fusion rules

Abstract

The multichannel Kondo model supports effective anyons on the partially screened impurity, as suggested by its fractional impurity entropy. It was recently demonstrated for the multi-impurity chiral Kondo model, that scattering of an electron through the impurities depends on the anyon's total fusion channel. Here we study the correlation between impurity-spins. We argue, based on a combination of conformal field theory, a perturbative limit with a large number of channels $k$, and the exactly solvable two-channel case, that the inter-impurity spin correlation probes the anyon fusion of the pair of correlated impurities. This may allow, using measurement-only topological quantum computing protocols, to braid the multichannel Kondo anyons via consecutive measurements.

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• Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model
• Topological symplectic Kondo effect
• Multichannel topological Kondo effect
• Chiral numerical renormalization group
• Topological Kondo effect with spinful Majorana fermions
• Topological Quantum Computation on a Chiral Kondo Chain
• Probing single-electron scattering through a non-Fermi liquid charge-Kondo device
• Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case
• Influence of topological degeneracy on the boundary Berezinskii-Kosterlitz-Thouless quantum phase transition of a dissipative resonant level
• A mesoscopic device for a realization of the Topological Kondo effect