Functional integral bosonization for an impurity in a Luttinger liquid

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

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    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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