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TU Dresden » Faculty of Mechanical Science and Engineering » Institute for Materials Science » Chair of Materials Science and Nanotechnology

Friday, 23 November 2012
(at 13:00 in room 115, Hallwachsstr. 3)
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Primer of quantum transport at nanoscale
Coherent transport: Green function method

Dmitry Ryndyk

Chair Materials Science and Nanotechnology, Institute for Materials Science, TU Dresden

Nanoscale and molecular-scale systems are naturally described by the discrete-level models, for example eigenstates of quantum dots, molecular orbitals, or atomic orbitals. But the leads are very large (infinite) and have continuous energy spectrum. To include the lead effects systematically, it is reasonable to start from the discrete-level representation for the whole system. It can be made by the tight-binding (TB) model, which was proposed to describe quantum systems in which the localized electronic states play essential role, it is widely used as an alternative to the plane wave description of electrons in solids, and also as a method to calculate the electronic structure of molecules in quantum chemistry. The effective method to describe scattering and transport is the Green function (GF) method. In the case of non-interacting systems and coherent transport the single-particle GFs are used. In this educational seminar we consider the matrix Green function method for coherent transport through discrete-level systems. This method is in the basis of modern molecular transport theory.

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Additional information

Within the Transport Seminar

last modified: 2021.10.21 Thu
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