dorsal/arxiv
View SchemaInfluence of branch points in the complex plane on the transmission through double quantum dots
| Authors | I. Rotter, A. F. Sadreev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403080 |
| URL | https://arxiv.org/abs/quant-ph/0403080 |
| DOI | 10.1103/PhysRevE.69.066201 |
Abstract
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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"abstract": "We consider single-channel transmission through a double quantum dot system\nconsisting of two single dots that are connected by a wire and coupled each to\none lead. The system is described in the framework of the S-matrix theory by\nusing the effective Hamiltonian of the open quantum system. It consists of the\nHamiltonian of the closed system (without attached leads) and a term that\naccounts for the coupling of the states via the continuum of propagating modes\nin the leads. This model allows to study the physical meaning of branch points\nin the complex plane. They are points of coalesced eigenvalues and separate the\ntwo scenarios with avoided level crossings and without any crossings in the\ncomplex plane. They influence strongly the features of transmission through\ndouble quantum dots.",
"arxiv_id": "quant-ph/0403080",
"authors": [
"I. Rotter",
"A. F. Sadreev"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevE.69.066201",
"title": "Influence of branch points in the complex plane on the transmission through double quantum dots",
"url": "https://arxiv.org/abs/quant-ph/0403080"
},
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