Having derived a formalism to treat an interacting fermion gas, it is now time to see how it may be applied to a real physical system. In this chapter we will consider the interacting electron gas in a solid. What we are interested in is to what extent the first-order terms in the various functions (polarization, self-energy, Green’s function) describe the properties of a real solid. To some extent we already know from the success of single-particle solid-state physics that interaction effects do not affect the basic properties of the system. Even the simple Thomas-Fermi theory (Sec. 1.6) gave us an indication of how that might be due to the locking up of the interaction into an inert binding energy, resulting from the coulomb correlation hole.
KeywordsFermi Energy Dielectric Function Normal System Quasi Particle Plasmon Energy
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