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

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

Research output: Contribution to journalArticle

Abstract

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
Volume110
Issue number13
DOIs
Publication statusPublished - 28 Mar 2013

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bosons
liquids
scattering
impurities
insulators
metals
backscattering
phonons
electrons
fermions
phase diagrams
scaling
acoustics
electronics

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

Cite this

Yurkevich, Igor ; Galda, Alexey ; Yevtushenko, Oleg M. ; Lerner, Igor V. / Duality of weak and strong scatterer in a Luttinger liquid coupled to massless bosons. In: Physical Review Letters. 2013 ; Vol. 110, No. 13.
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Duality of weak and strong scatterer in a Luttinger liquid coupled to massless bosons. / Yurkevich, Igor; Galda, Alexey; Yevtushenko, Oleg M.; Lerner, Igor V.

In: Physical Review Letters, Vol. 110, No. 13, 136405, 28.03.2013.

Research output: Contribution to journalArticle

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