Quantum wire hybridized with a single-level impurity

Igor V. Lerner, Vladimir I. Yudson, Igor Yurkevich

Research output: Contribution to journalArticlepeer-review


We have studied low-temperature properties of interacting electrons in a one-dimensional quantum wire (Luttinger liquid) side-hybridized with a single-level impurity. The hybridization induces a backscattering of electrons in the wire which strongly affects its low-energy properties. Using a one-loop renormalization group approach valid for a weak electron-electron interaction, we have calculated a transmission coefficient through the wire, T(epsilon), and a local density of states, nu(epsilon) at low energies epsilon. In particular, we have found that the antiresonance in T(epsilon) has a generalized Breit-Wigner shape with the effective width Gamma(epsilon) which diverges at the Fermi level.
Original languageEnglish
Article number256805
Number of pages4
JournalPhysical Review Letters
Issue number25
Publication statusPublished - 27 Jun 2008

Bibliographical note

© 2008 The American Physical Society


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