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

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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… Click to show full 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 to determine the interaction strength through the power-law temperature scaling of the electric conductance.

Keywords: luttinger liquid; charge kondo; electron electron; electron; electron interactions

Journal Title: Physical Review B
Year Published: 2022

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