Landau's quasi-particle mapping: Fermi liquid approach and Luttinger liquid behavior
Strongly Correlated Electrons
2009-11-07 v2 Superconductivity
Abstract
A continuous unitary transformation is introduced which realizes Landau's mapping of the elementary excitations (quasi-particles) of an interacting Fermi liquid system to those of the system without interaction. The conservation of the number of quasi-particles is important. The transformation is performed numerically for a one-dimensional system, i.e. the worst case for a Fermi liquid approach. Yet evidence for Luttinger liquid behavior is found. Such an approach may open a route to a unified description of Fermi and Luttinger liquids on all energy scales.
Keywords
Cite
@article{arxiv.cond-mat/0111078,
title = {Landau's quasi-particle mapping: Fermi liquid approach and Luttinger liquid behavior},
author = {Caspar P. Heidbrink and Götz S. Uhrig},
journal= {arXiv preprint arXiv:cond-mat/0111078},
year = {2009}
}
Comments
4 pages, 3 figures included, final version to appear in Phys. Rev. Lett., references updated, slight re-focus on the treatment of all energy scales