Abstract
The Marginal Fermi Liquid (MFL) hypothesis is analysed using Eliashberg formalism in a self-consistent manner in the normal phase. The detailed structure of the polarizability function describing the boson and the electron-boson coupling strength are found to play a very important role in obtaining a stable MFL solution. The possible impact on microscopic theory is highlighted. Investigation of the superconducting phase reached from such an MFL, shows the breakdown of Bardeen Stephen Free Energy Formula.
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