“Infrared Catastrophe:” When Does It Trash Fermi Liquid Theory?
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We give an historical discussion of the “infrared catastrophe” and the “x-ray edge anomalies” of Mahan associated with scatterers in a Fermi sea of electrons. The infrared catastrophe provides a perspicuous way into understanding the difficulties with many-body perturbation theory which have recently been discovered as a result of a study of high T c superconductivity, and we show how this “catastrophe” is avoided in some cases, but cannot be avoided in the one and 2-dimensional electron gas systems. Finally, we indicate the new type of theory which is necessary in the event of such a breakdown.
KeywordsFermi Surface Slater Determinant Ladder Diagram Scatter Phase Shift Fermi Liquid Theory
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- 7.F.D.M. Haldane, Unpublished Notes, Les Houches Summer School, 1992.Google Scholar
- 10.W. Metzner and C. di Castro, preprintGoogle Scholar
- 11.D.R. Hamann, Private CommunicationGoogle Scholar
- 14.L.P. Gorkov and G. Galitskii, as quoted in Ref. 17Google Scholar
- 17.P.W. Anderson, submitted to Phys. Rev. Lett.Google Scholar