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

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, , Citation Akinori Nishino et al 2016 J. Phys.: Conf. Ser. 670 012038 DOI 10.1088/1742-6596/670/1/012038

1742-6596/670/1/012038

Abstract

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.

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10.1088/1742-6596/670/1/012038