Functional Integral Bosonization for Impurity in Luttinger Liquid
Strongly Correlated Electrons
2009-04-30 v1 Mesoscale and Nanoscale Physics
Abstract
We use a functional integral formalism developed earlier for the pure Luttinger liquid (LL) to find an exact representation for the electron Green function of the LL in the presence of a single backscattering impurity. This allows us to reproduce results (well known from the bosonization techniques) for the suppression of the electron local density of states (LDoS) at the position of the impurity and for the Friedel oscillations at finite temperature. In addition, we have extracted from the exact representation an analytic dependence of LDoS on the distance from the impurity and shown how it crosses over to that for the pure LL.
Keywords
Cite
@article{arxiv.cond-mat/0307438,
title = {Functional Integral Bosonization for Impurity in Luttinger Liquid},
author = {Alex Grishin and Igor V. Yurkevich and Igor V. Lerner},
journal= {arXiv preprint arXiv:cond-mat/0307438},
year = {2009}
}
Comments
7 pages, 1 LaTeX produced figure