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Resonance in One--Dimensional Fermi--Edge Singularity

Yuval Oreg·Alexander M. Finkel'stein
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Abstract

The 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.

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Yuval Oreg, Alexander M. Finkel'stein. 1996-01-07. Resonance in One--Dimensional Fermi--Edge Singularity. https://doi.org/10.1103/physrevb.53.10928

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