Scattering amplitudes in non-Fermi liquid systems

Abstract

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.

arXiv comment22 pages, 9 figures, revtex4

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Cited by in corpus (4)

• Form factor approach to dynamical correlation functions in critical models
• Form factor approach to the asymptotic behavior of correlation functions in critical models
• Crossover of Correlation Functions near a Quantum Impurity in a Tomonaga-Luttinger Liquid
• Quasi-particle tunneling at a constriction in a fractional quantum Hall state