Effect of electron-phonon coupling on transmission through Luttinger liquid hybridized with resonant level

Article, Preprint English OPEN
Galda, Alexey ; Yurkevich, Igor ; Lerner, Igor V. (2011)
  • Related identifiers: doi: 10.1209/0295-5075/93/17009
  • Subject: Condensed Matter - Strongly Correlated Electrons | Condensed Matter - Mesoscale and Nanoscale Physics
    arxiv: Condensed Matter::Strongly Correlated Electrons

We show that electron-phonon coupling strongly affects transport properties of the Luttinger liquid hybridized with a resonant level. Namely, this coupling significantly modifies the effective energy-dependent width of the resonant level in two different geometries, corresponding to the resonant or antiresonant transmission in the Fermi gas. This leads to a rich phase diagram for a metal-insulator transition induced by the hybridization with the resonant level.
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