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

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.

7 pages, 1 figure

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Spin-charge separation and localization in one-dimension
• Observation of the two-channel Kondo effect
• Kondo effect in the helical edge liquid of the quantum spin Hall state
• Observation of Quantized Conductance in Neutral Matter
• Topological Kondo effect with Majorana fermions
• Kondo Problems in Tomonaga-Luttinger liquids
• Kondo effect of ${\bar{D}}_s$ and ${\bar{D}}_s^{\ast }$ mesons in nuclear matter
• Split-gate quantum point contacts with tunable channel length
• Thermoelectrics of a two-channel charge Kondo circuit: Role of electron-electron interactions in a quantum point contact

Cited by in corpus (2)

• Generalized Wiedemann-Franz law in a two-site charge Kondo circuit: Lorenz ratio as a manifestation of the orthogonality catastrophe
• Thermoelectric transport across a tunnel contact between two charge Kondo circuits: beyond perturbation theory