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Linearized Quantum Conductivity of Atomic Clusters and Artificial Molecules

Published online by Cambridge University Press:  01 February 2011

Liudmila A. Pozhar
Liudmila A. Pozhar*
Affiliation:
Liudmila.Pozhar@wku.edu, Western Kentucky University, Chemistry, United States
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Abstract

The explicit expression for the linearized longitudinal quantum conductivity of inhomogeneous systems (such as semiconductor atomic clusters, artificial molecules, etc.) in weak electro-magnetic fields derived recently within a first principle quantum statistical mechanical approach in terms of the equilibrium two-time temperature Green functions (TTGFs) has been analyzed to develop analytical and computational means for its calculations. This has been done using a generalized continuous fraction method due to Zubarev and Tserkovnikov (ZT). The TTGFs have been related to Kubo's relaxation functions of the charge density and its gradients that can be computed using available quantum statistical mechanical algorithms and software. Thus, it becomes possible to predict the linearized quantum conductivity of any small system (in particular small semiconductor quantum dots (QDs)) as a function of external electromagnetic fields using a unified fundamental approach. This knowledge can be used to develop small semiconductor QD-based highly sensitive tunable sensors based on changes in the conductivity caused by external electromagnetic fields (in particular, radiation).

Keywords

Hall effectnanostructureelectronic material
Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 900: Symposium O – Nanoparticles and Nanostructures in Sensors and Catalysis , 2005 , 0900-O03-02
Copyright
Copyright © Materials Research Society 2006

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References

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