Functional integral bosonization for an impurity in a Luttinger liquid


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 in the low-temperature limit. 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.

Publication DOI:
Additional Information: ©2004 American Physical Society. Functional integral bosonization for an impurity in a Luttinger liquid. Alex Grishin, Igor V. Yurkevich, and Igor V. Lerner Phys. Rev. B 69, 165108
Publication ISSN: 1550-235X
Last Modified: 29 Feb 2024 08:11
Date Deposited: 31 Jul 2014 10:35
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://link.aps ... PRB/v69/e165108 (Publisher URL)
PURE Output Type: Article
Published Date: 2004-04-07
Authors: Grishin, Alex
Yurkevich, Igor V. (ORCID Profile 0000-0003-1447-8913)
Lerner, Igor V.



Version: Published Version

| Preview

Export / Share Citation


Additional statistics for this record