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Title:On the dynamic structure factor for the electron gas
Author(s):Ren, De-Ming
Doctoral Committee Chair(s):Pines, David
Department / Program:Physics
Discipline:Physics
Degree:Ph.D.
Genre:Dissertation
Subject(s):electron gas
renormalized plasmons
large momentum transfer
Green's functions
Abstract:We cast the well-known electron gas model into a path integral version, then studied its dynamic structure factor S(q,q0 ) systematically. Our study shows that qc defined in RPA not only is the threshold for a bare plasmon, but also in general the one for any number of renormalized plasmons. We have particularly studied large momentum transfer case (q > qc). We proved that the self-energy correction appearing in the pertinent Green functions of S(q,q0 ) vanishes. Those theoretical results indicate that the first peak in the fine structure of S(q,q 0 ) observed in experiments for large q (~ 1.5 qf) neither comes from a plasmon nor occurs due to a particle life-time or a self-energy correction. Our explanation for the first peak is that it arises from a strong correlation between single-pair excitation and multi-pair excitation involving only a few pairs (CSF). This conclusion was reached following a qualitative study of a two particle irreducible part of diagrams; some further elaborate numerical calculations are needed to confirm this hypothesis. An approximate, but nevertheless closed, formula for summing a set of screened ladder diagram (SLD), which describes the strongest correlation between single-pair and a few (two) pairs, is presented.
Issue Date:1987
Genre:Dissertation / Thesis
Type:Text
Language:English
URI:http://hdl.handle.net/2142/25218
Rights Information:1987 De-Ming Ren
Date Available in IDEALS:2011-06-02
Identifier in Online Catalog:3473946


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