Renormalization group approach to Fermi Liquid Theory
Condensed Matter
2009-10-28 v2
Abstract
We show that the renormalization group (RG) approach to interacting fermions at one-loop order recovers Fermi liquid theory results when the forward scattering zero sound (ZS) and exchange (ZS) channels are both taken into account. The Landau parameters are related to the fixed point value of the ``unphysical'' limit of the forward scattering vertex. We specify the conditions under which the results obtained at one-loop order hold at all order in a loop expansion. We also emphasize the similarities between our RG approach and the diagrammatic derivation of Fermi liquid theory.
Cite
@article{arxiv.cond-mat/9511120,
title = {Renormalization group approach to Fermi Liquid Theory},
author = {N. Dupuis and G. Chitov},
journal= {arXiv preprint arXiv:cond-mat/9511120},
year = {2009}
}
Comments
4 pages (RevTex) + 1 postcript file, everything in a uuencoded file, uses epsf (problem with the figure in the first version)