Influence of branch points in the complex plane on the transmission through double quantum dots

Details Influence of branch points in the complex plane on the transmission through double quantum dots Influence of branch points in the complex plane on the transmission through double quantum dots

2004-03-10

arxiv.org/abs/quant-ph/0403080v1

Physics

Quantum Physics

30 pages, 14 figures

Scientific paper

10.1103/PhysRevE.69.066201

We consider single-channel transmission through a double quantum dot system consisting of two single dots that are connected by a wire and coupled each to one lead. The system is described in the framework of the S-matrix theory by using the effective Hamiltonian of the open quantum system. It consists of the Hamiltonian of the closed system (without attached leads) and a term that accounts for the coupling of the states via the continuum of propagating modes in the leads. This model allows to study the physical meaning of branch points in the complex plane. They are points of coalesced eigenvalues and separate the two scenarios with avoided level crossings and without any crossings in the complex plane. They influence strongly the features of transmission through double quantum dots.

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