Functional integral bosonization for an impurity in a Luttinger liquid

Alex Grishin, Igor V. Yurkevich, Igor V. Lerner

Research output: Contribution to journalArticle

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 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.
Original languageEnglish
Article number165108
Number of pages7
JournalPhysical Review B
Volume69
Issue number16
DOIs
Publication statusPublished - 7 Apr 2004

Bibliographical note

©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

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