Fractional Entropy of Multichannel Kondo Systems from Conductance-Charge Relations

Fractional entropy is a signature of nonlocal degrees of freedom, such as Majorana zero modes or more exotic non-Abelian anyons. Although direct experimental measurements remain challenging, Maxwell relations provide an indirect route to the entropy through charge measurements. Here we consider multichannel charge-Kondo systems, which are predicted to host exotic quasiparticles due to a frustration of Kondo screening at low temperatures. In the absence of experimental data for the charge occupation, we derive relations connecting the latter to the conductance, for which experimental results have recently been obtained. Our analysis indicates that Majorana and Fibonacci anyon quasiparticles are well developed in existing two- and three-channel charge-Kondo devices, and that their characteristic k(B) log root 5, and k(B)log[(1 + root 5)/2] entropies are experimentally measurable.

Automated summary

Fractional entropy, such as Majorana zero modes or non-Abelian anyons, is a signature of nonlocal degrees of freedom. Although direct experimental measurements are challenging, indirect measurement through charge measurements using Maxwell relations is possible. The study focuses on multichannel charge-Kondo systems and suggests that Majorana and Fibonacci anyon quasiparticles are well developed and experimentally measurable in existing devices.