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


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.

Publication DOI: https://doi.org/10.1103/PhysRevLett.110.136405
Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: © 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
Uncontrolled Keywords: Physics and Astronomy(all)
Publication ISSN: 1079-7114
Last Modified: 04 Jan 2024 08:13
Date Deposited: 05 Nov 2013 13:15
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... Lett.110.136405 (Publisher URL)
PURE Output Type: Article
Published Date: 2013-03-28
Authors: Yurkevich, Igor (ORCID Profile 0000-0003-1447-8913)
Galda, Alexey
Yevtushenko, Oleg M.
Lerner, Igor V.



Version: Accepted Version

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