Landau's quasi-particle mapping: Fermi liquid approach and Luttinger liquid behavior

Details Landau's quasi-particle mapping: Fermi liquid approach and Luttinger liquid behavior Landau's quasi-particle mapping: Fermi liquid approach and Luttinger liquid behavior

2001-11-06

arxiv.org/abs/cond-mat/0111078v2

Phys. Rev. Lett. 88, 146401 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures included, final version to appear in Phys. Rev. Lett., references updated, slight re-focus on the treatment

Scientific paper

10.1103/PhysRevLett.88.146401

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.

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