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arXiv · 2212.10383

Charge Kondo circuit as a detector for electron-electron interactions in a Luttinger Liquid

T. K. T. Nguyen·A. V. Parafilo·H. Q. Nguyen·M. N. Kiselev
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Abstract

We investigate the effects of the electron-electron interactions on the quantum transport through a charge Kondo circuit. The setup consists of a quantum dot sandwiched between two leads by two nearly transparent single mode quantum point contacts. The size of the interacting area $L$ in the Luttinger liquid formed in the vicinities of the narrow constrictions is assumed to be much smaller compared to the size of the quantum dot $a$. We predict that the interplay between the electron-electron interactions in the Luttinger liquid and the fingerprints of the non-Fermi liquid behavior in the vicinity of the two channel Kondo intermediate coupling fixed point allows one to determine the interaction strength through the power-law temperature scaling of the electric conductance.

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T. K. T. Nguyen, A. V. Parafilo, H. Q. Nguyen, M. N. Kiselev. 2022-12-20. Charge Kondo circuit as a detector for electron-electron interactions in a Luttinger Liquid. https://doi.org/10.1103/physrevb.107.l201402

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