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Fermi-Edge Singularity with Backscattering in the Luttinger-Liquid Model

N. V. Prokof'ev
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Abstract

We study the response of the interacting electron gas in one dimension on the local external potential. In the low frequency limit the power-law singularities are essentially modifyed by backscattering effects which, in the case of zero forward scattering, result in the universal critical exponent depending only on the Luttinger-liquid interactions. The results obtained may be used to describe singular responses of the 1D boson chains.

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N. V. Prokof'ev. 1993-06-17. Fermi-Edge Singularity with Backscattering in the Luttinger-Liquid Model. https://doi.org/10.1103/physrevb.49.2148

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