Scattering amplitudes in non-Fermi liquid systems

Details Scattering amplitudes in non-Fermi liquid systems Scattering amplitudes in non-Fermi liquid systems

2003-04-02

arxiv.org/abs/cond-mat/0304058v1

Physics

Condensed Matter

Strongly Correlated Electrons

22 pages, 9 figures, revtex4

Scientific paper

10.1103/PhysRevB.68.115422

By a mix of form-factors and analyticity techniques, we determine some fundamental scattering amplitudes in non-Fermi liquid systems. These include the reflection and transmission amplitudes for Laughlin quasiparticles at a point contact between two g=1/2 Luttinger liquids, and the e->e_{edge} at a point contact between a Fermi liquid and a g=1/3 Luttinger liquid (all liquids chiral or not). These results are obtained in closed form, and give rise to rather simple expressions for the probabilities of the most basic processes of non Fermi liquid physics at these special values of the couplings.

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