Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-03-21
Physics
Condensed Matter
Strongly Correlated Electrons
13 pages, 4 figures
Scientific paper
We discuss an interplay between the Fermi-liquid (FL) theory and diagrammatic perturbative approach to interacting Fermi systems. In the FL theory for Galilean-invariant systems, mass renormalization $m^*/m$ comes exclusively from fermions at the Fermi surface. We show that in a diagrammatic perturbation theory the same result for $m^*/m$ comes from fermions both at and away from the Fermi surface. The equivalence of the FL and pertubative approaches is based on a particular relation between self-energy contributions from high- and low-energy fermions. We argue that care has to be exercised in the renormalization group approach to a FL in order not to miss the high-energy contribution to $m^*/m$. As particular examples, we discuss $m^*/m$ and the quasiparticle residue $Z$ for 2D and 3D systems with both SU(2) and SU(N) symmetries, and with a short-range interaction. We derive an expression for the anisotropic part of the Fermi-liquid vertex in the large-$N$ limit of the SU(N) case.
Chubukov Andrey V.
Maslov Dmitrii L.
No associations
LandOfFree
Universal and non-universal renormalizations in Fermi liquids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Universal and non-universal renormalizations in Fermi liquids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal and non-universal renormalizations in Fermi liquids will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-205857