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Abstract: We present an alternative approach to the calculation of the lifetime of asingle excited electron hole which interacts with the Fermi sea of electronsin a metal. The metal is modelled on the level of a Hamilton operatorcomprising a pertinent dispersion relation and scattering term. To determinethe full relaxation dynamics we employ an adequate implementation of thetime-convolutionless projection operator method TCL. This yields an analyticexpression for the decay rate which allows for an intuitive interpretation interms of scattering events. It may furthermore be efficiently evaluated bymeans of a Monte-Carlo integration scheme. As an example we investigatealuminium using, just for simplicity, a jellium-type model. This way we obtaindata which are directly comparable to results from a self-energy formalism. Ourapproach applies to arbitrary temperatures.



Autor: M. Kadiroglu, J. Gemmer

Fuente: https://arxiv.org/







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