Functional Integral Bosonization for Impurity in Luttinger Liquid
arXiv:cond-mat/0307438 · doi:10.1103/PhysRevB.69.165108
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. 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.
7 pages, 1 LaTeX produced figure
References in corpus (10)
- One-Dimensional Fermi liquids
- Bosonization for Beginners --- Refermionization for Experts
- Tunneling in One-Dimensional non-Luttinger Electron Liquid
- Friedel oscillations for interacting fermions in one dimension
- Local Perturbation in a Tomonaga-Luttinger Liquid at g=1/2
- Enhancement of the tunneling density of states in Tomonaga--Luttinger Liquids
- Exact Friedel oscillations in the g=1/2 Luttinger liquid
- Comment on ``Enhancement of the Tunneling Density of States in Tomonaga-Luttinger Liquids''
- Friedel oscillations in a Luttinger liquid with long-range interactions
- Bosonic description of a Tomonaga-Luttinger model with impurities
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