Programme

O.6 -- Oral, ANSWCCMS-2023

Date: Friday, 10 November 2023

Time: 13:30 - 14:00

Quantum transport through charge Kondo circuits: Role of electron-electron interactions in Luttinger liquid

Nguyen Thi Kim Thanh

Institute of Physics, VAST, Hanoi, Vietnam

In this talk, I will introduce briefly our works about the theoretical investigation of the effects of electron-electron interactions in different charge Kondo circuits (CKCs). A one-channel CKC is implemented by a large metallic quantum dot (QD) weakly coupled to an electrode (the source) and strongly coupled to the other one through an almost transparent single-mode quantum point contact (QPC) in the spinless case. The same setup in the spinful case creates a two-channel CKC. In the integer quantum Hall (IQH) charge Kondo implementation, the number of QPCs is equivalent to the number of the orbital channels in the conventional S = 1/2 Kondo problem. We investigated two channel Kondo models in these two different setups. The whole system is formed by two-dimensional electron gas (2DEG) in which the QD-QPC structure is characterized by the Luttinger liquid model while the source is described by the Fermi liquid one. The universal temperature scaling laws of the thermoelectric coefficients are computed perturbatively in respect to the reflection amplitude of the QPC using the Abelian bosonization technique. In the first setup, we predict that the relevance of the backscattering g1⊥ process in the electron-electron interactions induces a universal crossover from non-Fermi liquid – two channel Kondo to Fermi liquid – 1 channel Kondo. In the second setup, the universal temperature scaling of the conductance G_0-G∝〖(T⁄T^* )〗^g when the system approaches the two channel Kondo intermediate coupling fixed point allows one to determine the effects of the electron electron-electron interactions in the two-channel charge Kondo–IQH circuits.

Presenter: Nguyen Thi Kim Thanh

Presentation file: