M. Crisan et L. Tataru, MARGINAL BEHAVIOR OF A FERMI SYSTEM INTERACTING WITH BOSONIC EXCITATIONS, Journal of superconductivity, 8(3), 1995, pp. 341-347
We calculated the self-energy of a Fermi system interacting with boson
ic excitation. If the bosonic system is near instability, the imaginar
y part of the self-energy which measures the lifetime of quasiparticle
s is of the order of (epsilon(p)-epsilon(F)) which is typical for a ma
rginal Fermi liquid. Such a behavior can appear for three- and two-dim
ensional Fermi systems.