Functional Integral Bosonization for Impurity in Luttinger Liquid

Details Functional Integral Bosonization for Impurity in Luttinger Liquid Functional Integral Bosonization for Impurity in Luttinger Liquid

2003-07-17

arxiv.org/abs/cond-mat/0307438v1

Phys. Rev. B 69, 165108 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 1 LaTeX produced figure

Scientific paper

10.1103/PhysRevB.69.165108

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.

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