Exact Fermi-edge singularity exponent in a Luttinger liquid
Strongly Correlated Electrons
2009-10-30 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9702238,
title = {Exact Fermi-edge singularity exponent in a Luttinger liquid},
author = {Andrei Komnik and Reinhold Egger and Alexander O. Gogolin},
journal= {arXiv preprint arXiv:cond-mat/9702238},
year = {2009}
}
Comments
8 Pages RevTeX, no figures