Fermi-Edge Singularity with Backscattering in the Luttinger-Liquid Model
arXiv:cond-mat/9306040 · doi:10.1103/PhysRevB.49.2148
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.
11 pages in LaTex, UBCTP-NP-93-003
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