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Quantum Transport for Nanostructures

By Mathieu Luisier

Purdue University

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Abstract

Nonequilibrium Green's function techniques, initiated by Schwinger and Kadanoff and Baym allow ones to study the time evolution of a many-particle quantum sys- tem. Knowing the 1-particle Green's functions of a given system, one may evaluate 1-particle quantities like carrier density or current. The many-particle information about the system is cast into self-energies, parts of the equations of motion for the Green’s functions. Perturbation expansion of the Green's functions is the key to approximate the self-energies.

Green's functions provide a very powerful technique for evaluating properties of many-body system both in thermodynamic equilibrium and also in nonequilibrium situations.

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Researchers should cite this work as follows:

  • Mathieu Luisier (2006), "Quantum Transport for Nanostructures," https://nanohub.org/resources/1792.

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