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JETP Letters

, Volume 109, Issue 11, pp 762–767 | Cite as

On Exact Solutions for a Luttinger Liquid with One Impurity

  • V. V. AfoninEmail author
  • V. Yu. Petrov
Condensed Matter

Abstract

Reasons for the existence of exact solutions of the Luttinger model have been discussed. It has been shown that scattering by impurities at certain electron-electron coupling constants can be written in terms of Fermi quasiparticles exactly taking into account the electron-electron interaction. This circumstance significantly simplifies the analysis and in some cases leads to the existence of exact solutions.

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Copyright information

© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  1. 1.Ioffe Physical-Technical InstituteRussian Academy of SciencesSt. PetersburgRussia
  2. 2.Petersburg Nuclear Physics InstituteNational Research Center Kurchatov InstituteGatchinaRussia

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