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Multichannel Topological Kondo Effect.

Guangjie Li1, Yuval Oreg2, Jukka I Väyrynen1,3

  • 1Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA.

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|February 24, 2023
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Summary
This summary is machine-generated.

We introduce a generalized topological Kondo model, revealing a novel Kondo effect with emergent Fibonacci anyons in the N=2 case. This research offers experimentally observable signatures for topological quantum phenomena.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science
  • Topological Quantum Computing

Background:

  • The topological Kondo effect arises from Majorana islands and nonlocal topological ground state degeneracy.
  • Understanding its generalizations is crucial for exploring novel quantum phenomena and potential applications.

Purpose of the Study:

  • To introduce and analyze an N-channel generalization of the topological Kondo model.
  • To investigate the emergence of Fibonacci anyons and experimentally observable signatures.

Main Methods:

  • Perturbative renormalization group analysis.
  • Evaluation of low-temperature impurity entropy and conductance.
  • Mapping to conventional Kondo models for specific cases.

Main Results:

  • Conjectured a stable intermediate coupling fixed point for N=2, indicating emergent Fibonacci anyons.
  • Mapped N=2, M=4 to the four-channel Kondo model, calculating conductance.
  • Analyzed the large-N limit, finding fixed points and evaluating conductance crossover functions.

Conclusions:

  • The N-channel generalization provides a framework for realizing emergent Fibonacci anyons.
  • The study identifies experimentally observable signatures for topological Kondo effects and anyonic states.