Quantum Transport Through a ``Charge" Kondo Circuit: Effects of Weak Repulsive Interaction in Luttinger Liquid

Thanh Thi Kim Nguyen, Mikhail N. Kiselev
Author affiliations

Authors

  • Thanh Thi Kim Nguyen Institute of Physics, Vietnam Academy of Science and Technology
  • Mikhail N. Kiselev The Abdus Salam International Centre for Theoretical Physics

DOI:

https://doi.org/10.15625/0868-3166/30/1/14685

Keywords:

thermoelectric transport, Luttinger liquid, single-channel Kondo effect, Fermi liquid

Abstract

We investigate theoretically quantum transport through the ``charge" Kondo circuit consisting of the quantum dot (QD) coupled weakly to an electrode at temperature \(T+\Delta T\) and connected strongly to another electrode at the reference temperature \(T\) by a single-mode quantum point contact (QPC). To account for the effects of Coulomb interaction in the QD-QPC setup operating in the integer quantum Hall regime we describe the edge current in the quantum circuit by Luttinger model characterized by the Luttinger parameter \(g\). It is shown that the temperature dependence of both electric conductance \(G\propto T^{2/g}\) and thermoelectric coefficient \(G_T\propto T^{1+2/g}\) detours from the Fermi-liquid (FL) theory predictions. The behaviour of the thermoelectric power \(S=G_T/G\propto T\) in a regime of a single-channel Kondo effect is, by contrast, consistent with the FL paradigm. We demonstrate that the interplay between the mesoscopic Coulomb blockade in QD and weak repulsive interaction in the Luttinger Liquid \(g=1-\alpha\) \((\alpha \ll 1)\) results in the enhancement of the thermopower. This enhancement is attributed to suppression of the Kondo correlations in the ``charge" circuit by the destructive quantum interference effects.

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Published

05-03-2020

How to Cite

[1]
T. T. K. Nguyen and M. N. Kiselev, Quantum Transport Through a ``Charge" Kondo Circuit: Effects of Weak Repulsive Interaction in Luttinger Liquid, Comm. Phys. 30 (2020) 1. DOI: https://doi.org/10.15625/0868-3166/30/1/14685.

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Papers
Received 11-12-2019
Accepted 31-12-2019
Published 05-03-2020