Exact Fermi-edge singularity exponent in a Luttinger liquid

Details Exact Fermi-edge singularity exponent in a Luttinger liquid Exact Fermi-edge singularity exponent in a Luttinger liquid

1997-02-27

arxiv.org/abs/cond-mat/9702238v1

Phys. Rev. B 56, 1153 (1997).

Physics

Condensed Matter

Strongly Correlated Electrons

8 Pages RevTeX, no figures

Scientific paper

10.1103/PhysRevB.56.1153

We report the exact calculation of the Fermi-edge singularity exponent for correlated electrons in one dimension (Luttinger liquid). Focusing on the special interaction parameter g=1/2, the asymptotic long-time behavior can be obtained using the Wiener-Hopf method. The result confirms the previous assumption of an open boundary fixed point. In addition, a dynamic k-channel Kondo impurity is studied via Abelian bosonization for k=2 and k=4. It is shown that the corresponding orthogonality exponents are related to the orthogonality exponent in a Luttinger liquid.

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