Luttinger liquid renormalized by a single impurity

Kenji Kamide, Takashi Kimura, Susumu Kurihara

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    Abstract

    Transport through a spinless Tomonaga-Luttinger (TL) liquid is studied in the presence of a single impurity. A boundary bosonization technique is developed to treat an impurity of arbitrary strength. Our new bosonization formula (i) smoothly connects the ones for the strong and the weak impurity limits, and (ii) reproduces exact scaling equation for the transmission probability in the weak two-body interaction limit. With the use of our formula, TL parameter is determined from the long-distance correlation functions. The result indicates a possible renormalization of TL parameter due to the effect of the single impurity scattering.

    Original languageEnglish
    Article number022031
    JournalJournal of Physics: Conference Series
    Volume150
    Issue number2
    DOIs
    Publication statusPublished - 2009

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    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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