Universal and non-universal renormalizations in Fermi liquids - Condensed Matter > Strongly Correlated ElectronsReport as inadecuate




Universal and non-universal renormalizations in Fermi liquids - Condensed Matter > Strongly Correlated Electrons - Download this document for free, or read online. Document in PDF available to download.

Abstract: We discuss an interplay between the Fermi-liquid FL theory and diagrammaticperturbative approach to interacting Fermi systems. In the FL theory forGalilean-invariant systems, mass renormalization $m^*-m$ comes exclusively fromfermions at the Fermi surface. We show that in a diagrammatic perturbationtheory the same result for $m^*-m$ comes from fermions both at and away fromthe Fermi surface. The equivalence of the FL and pertubative approaches isbased on a particular relation between self-energy contributions from high- andlow-energy fermions. We argue that care has to be exercised in therenormalization group approach to a FL in order not to miss the high-energycontribution to $m^*-m$. As particular examples, we discuss $m^*-m$ and thequasiparticle residue $Z$ for 2D and 3D systems with both SU2 and SUNsymmetries, and with a short-range interaction. We derive an expression for theanisotropic part of the Fermi-liquid vertex in the large-$N$ limit of the SUNcase.



Author: Andrey V. Chubukov, Dmitrii L. Maslov

Source: https://arxiv.org/







Related documents