Electron Transport Theory
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We have given in this chapter an introduction to the current state of electron transport theory, in view of applications to tunneling problems. The theoretical framework, based on Green’s functions of open systems, was shown to be adaptable, via its perturbative extension into nonequilibrium environments, to treat all relevant physical processes at the atomic scale, essentially from first principles. The present implementations rely on tight-binding schemes or local orbital geometry; within these limits the theory can cope with finite-bias potentials and inelastic effects due to electron-electron or electron-phonon interactions. It can be foreseen that the framework, once it is extended to cover also plane-wave and full-potential methods, will provide the backbone of transport simulations on the atomic scale, whenever high accuracy is the decisive issue.
KeywordsSpectral Function Transmission Probability Nonequilibrium Condition Outgoing Wave Applied Bias Voltage
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