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

Dor Gabay, Cheolhee Han, Pedro L.S. Lopes, Ian Affleck, Eran Sela*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 interimpurity 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.

Original languageEnglish
Article number035151
JournalPhysical Review B
Issue number3
StatePublished - 15 Jan 2022


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