Duality of weak and strong scatterer in a Luttinger liquid coupled to massless bosons

Igor Yurkevich, Alexey Galda, Oleg M. Yevtushenko, Igor V. Lerner

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    We study electronic transport in a Luttinger liquid with an embedded impurity, which is either a weak scatterer (WS) or a weak link (WL), when interacting electrons are coupled to one-dimensional massless bosons (e.g., acoustic phonons). We find that the duality relation, ?WS?WL=1, between scaling dimensions of the electron backscattering in the WS and WL limits, established for the standard Luttinger liquid, holds in the presence of the additional coupling for an arbitrary fixed strength of boson scattering from the impurity. This means that at low temperatures such a system remains either an ideal insulator or an ideal metal, regardless of the scattering strength. On the other hand, when fermion and boson scattering from the impurity are correlated, the system has a rich phase diagram that includes a metal-insulator transition at some intermediate values of the scattering.
    Original languageEnglish
    Article number136405
    Number of pages5
    JournalPhysical Review Letters
    Issue number13
    Publication statusPublished - 28 Mar 2013

    Bibliographical note

    © 2013 American Physical Society. Duality of Weak and Strong Scatterer in a Luttinger Liquid Coupled to Massless Bosons. Igor V. Yurkevich, Alexey Galda, Oleg M. Yevtushenko, and Igor V. Lerner. Phys. Rev. Lett. 110, 136405 – Published 28 March 2013


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