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

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.

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

References in corpus (2)

• Quantum Criticality: competing ground states in low dimensions
• Fractional and Integer Excitations in Quantum Antiferromagnetic Spin 1/2 Ladders

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