<math display="inline"><msub><mi mathvariant="double-struck">Z</mi><mn>3</mn></msub></math> Parafermion in the Double Charge Kondo Model

Karki, D.B.; Boulat, Edouard; Pouse, Winston; Goldhaber-Gordon, David; Mitchell, Andrew K.; Mora, Christophe

doi:10.1103/PhysRevLett.130.146201

$Z_{3}$ Parafermion in the Double Charge Kondo Model

D.B. Karki
(
- BAQIS, Beijing
)
,
Edouard Boulat
(
- MPQ, Paris
)
,
Winston Pouse
(
- Stanford U., Phys. Dept. and
- SLAC
)
,
David Goldhaber-Gordon
(
- SLAC and
- Stanford U., Phys. Dept.
)
,
Andrew K. Mitchell
(
- University Coll., Dublin
)

Oct 10, 2022

14 pages

Published in:

Phys.Rev.Lett. 130 (2023) 14, 146201

Published: Apr 6, 2023

e-Print:

2210.04937 [cond-mat.mes-hall]

DOI:

10.1103/PhysRevLett.130.146201 (publication)

View in:

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Abstract: (APS)

Quantum impurity models with frustrated Kondo interactions can support quantum critical points with fractionalized excitations. Recent experiments [W. Pouse , Nat. Phys. (2023)] 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

Z_{3}

parafermion emerges at the critical point, characterized by a fractional

\frac{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.

Note:

5 pages+, 3 figures

References(86)

Figures(3)

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Z3 Parafermion in the Double Charge Kondo Model

Citations per year

Resistance Minimum in Dilute Magnetic Alloys

Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions

Topological Kondo effect with Majorana fermions

Conductance fingerprint of Majorana fermions in the topological Kondo effect

Exact critical theory of the two impurity Kondo model

Exact conformal-field-theory results on the multichannel Kondo effect: Single-fermion Green’s function, self-energy, and resistivity

$Z_{3}$ Parafermion in the Double Charge Kondo Model