Exact scattering eigenstates in double quantum-dot systems with an interdot Coulomb interaction

23rd International Conference on Integrable Systems and Quantum Symmetries

Nishino, Akinori^1 ; Hatano, Naomichi^2 ; Ordonez, Gonzalo^3

Faculty of Engineering, Kanagawa University, 3-27-1, Rokkakubashi, Kanagawa-ku, Yokohama-shi, Kanagawa

221-8686, Japan^1

Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo

153-8505, Japan^2

Department of Physics and Astronomy, Butler University, 4600 Sunset Ave., Indianapolis

IN

46208, United States^3

关键词: Binding strength;    Complex values;    Double quantum dots;    Interdot coupling;    Many-body resonance;    Noninteracting electrons;    Quantum interference;    Spinless electrons;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/670/1/012038/pdf
DOI  :  10.1088/1742-6596/670/1/012038

来源: IOP

【 摘 要 】

We study a double quantum-dot system which consists of two leads of noninteracting electrons and two quantum dots with an interdot Coulomb interaction. We assume spinless electrons and consider arbitrary complex values of all lead-dot couplings and an interdot coupling. We construct exact many-electron scattering eigenstates whose incident states are free-electronic plane waves in the leads. Due to the interaction, some of the incident plane waves are scattered to two-body and three-body bound states. The binding strength of the many-body bound states is affected by the arrangement of the two quantum dots, by which we observe an interplay of the Coulomb interaction and quantum interference. We can understand the many-body bound states in terms of many-body resonances.