Duality of Weak and Strong Scatterer in Luttinger liquid Coupled to Massless Bosons

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

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

We study electronic transport in a Luttinger liquid (LL) 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, $\Delta_{ws}\Delta_{wl}=1 $, between scaling dimensions of the electron backscattering in the WS and WL limits, established for the standard LL, 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 number13405
JournalPhysical Review Letters
Volume110
Issue numberp.136405
DOIs
Publication statusPublished - 28 Mar 2013

Keywords

  • cond-mat.str-el

Fingerprint

Dive into the research topics of 'Duality of Weak and Strong Scatterer in Luttinger liquid Coupled to Massless Bosons'. Together they form a unique fingerprint.

Cite this