Functional integral bosonization for an impurity in a Luttinger liquid

Alexander Grishin, Igor Yurkevich, Igor Lerner

Research output: Contribution to journalArticle

41 Citations (Scopus)


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
Pages (from-to)165108
Number of pages1
JournalPhysical Review B
Early online date1 Apr 2004
Publication statusPublished - 1 Apr 2004


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