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Article Dans Une Revue Physical Review Letters Année : 2023

$\mathbb{Z}_3$ parafermion in the double charge-Kondo model

D.B. Karki
  • Fonction : Auteur
Winston Pouse
  • Fonction : Auteur
David Goldhaber-Gordon
  • Fonction : Auteur
Andrew K. Mitchell
  • Fonction : Auteur

Résumé

Quantum impurity models with frustrated Kondo interactions can support quantum critical points with fractionalized excitations. Recent experiments [arXiv:2108.12691] on a circuit containing two coupled metal-semiconductor islands exhibit transport signatures of such a critical point. Here we show using bosonization that the double charge-Kondo model describing the device can be mapped in the Toulouse limit to a sine-Gordon model. Its Bethe-ansatz solution shows that a $\mathbb{Z}_3$ parafermion emerges at the critical point, characterized by a fractional $\tfrac{1}{2}\ln(3)$ residual entropy, and scattering fractional charges $e/3$. We also present full numerical renormalization group calculations for the model and show that the predicted behavior of conductance is consistent with experimental results.

Dates et versions

hal-03833493 , version 1 (28-10-2022)

Identifiants

Citer

D.B. Karki, Edouard Boulat, Winston Pouse, David Goldhaber-Gordon, Andrew K. Mitchell, et al.. $\mathbb{Z}_3$ parafermion in the double charge-Kondo model. Physical Review Letters, 2023, 130 (14), pp.146201. ⟨10.1103/PhysRevLett.130.146201⟩. ⟨hal-03833493⟩
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