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25 April 2024
 
  » arxiv » cond-mat/9601021

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Resonance in One--Dimensional Fermi--Edge Singularity
Yuval Oreg ; Alexander M. Finkel’stein ;
Date 7 Dec 1995
Journal Phys. Rev. B 53, 10928 (1996)
Subject cond-mat
AbstractThe problem of the Fermi--edge singularity in a one--dimensional Tomonaga--Luttinger liquid is reconsidered. The backward scattering of the conduction band electrons on the impurity--like hole in the valence band is analyzed by mapping the problem onto a Coulomb gas theory. For the case when the electron--electron interaction is repulsive the obtained exponent of the one--dimensional Fermi--edge singularity appears to be different from the exponent found in the previous studies. It is shown that the infrared physics of the Fermi--edge singularity in the presence of backward scattering and electron--electron repulsion resembles the physics of the Kondo problem.
Source arXiv, cond-mat/9601021
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