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On the dynamic structure factor for the electron gas
Authors:De-Ming Ren
Affiliation:1. China University of Geosciences, Beijing;2. Stanford University, Stanford, CA 94305, USA;3. AltaRock Energy, Inc.;1. Heat Pipe and Thermal Management Research Group, College of Engineering, Design and Physical Sciences, Brunel University London, London UB8 3PH, UK;2. Wroclaw University of Science and Technology, Faculty of Environmental Engineering, Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, Poland;3. Pontifical Catholic University of Rio de Janeiro (PUC-Rio), Rio de Janeiro, Brazil;4. College of Engineering, Design and Physical Sciences, Brunel University London, London UB8 3PH, UK
Abstract:
In this paper the well-known electron gas model is expressed as a path integral, and then its dynamic structure factor (DSF) is studied systematically. The study shows that qc defined in the random phase approximation (RPA) not only is the threshold for a bare plasmon, but also in general is the threshold for any number of renormalized plasmons. The paper focuses on the large momentum transfer case (q > qc). The conclusion that the self-energy correction appearing in the pertinent Green functions of the DSF vanishes has been reached. An explanation for the first peak in DSF observed in experiments, namely the strong correlation between the single-pair and multi-pair excitations involving only a few pairs, is suggested. An approximate, but nevertheless closed, formula for adding up a set of screened ladder diagrams, which describe the strongest correlation between the single pair and a few (two) pairs, is presented.
Keywords:
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