Transport in quantum dot stacks using the transfer Hamiltonian method in self-consistent field regime

The non-coherent rate equation approach to the electrical transport in a serial quantum dot system is presented. The charge density in each quantum dot is obtained using the transfer Hamiltonian formalism for the current expressions. The interactions between the quantum dots and between the quantum...

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Bibliographic Details
Authors: Illera Robles, Sergio, Prades García, Juan Daniel, Cirera Hernández, Albert, Cornet i Calveras, Albert
Format: article
Status:Versión aceptada para publicación
Publication Date:2012
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/98748
Online Access:https://hdl.handle.net/2445/98748
Access Level:Open access
Keyword:Sistemes hamiltonians
Semiconductors
Teoria quàntica
Estructura electrònica
Hamiltonian systems
Quantum theory
Electronic structure
Description
Summary:The non-coherent rate equation approach to the electrical transport in a serial quantum dot system is presented. The charge density in each quantum dot is obtained using the transfer Hamiltonian formalism for the current expressions. The interactions between the quantum dots and between the quantum dots and the electrodes are introduced by transition rates and capacitive couplings. Within this framework analytical expressions for the current and the charge in each quantum dot are presented. The effects of the local potential are computed within the self-consistent field regime. Despite the simplicity of the model, well-known effects are satisfactorily explained and reproduced. We also show how this approach can be extended into a more general case.