Doped Kondo chain, a heavy Luttinger liquid

Ilia Khait, Patrick Azaria, Claudius Hubig, Ulrich Schollwoeck, Assa Auerbach

Research output: Contribution to journalArticlepeer-review


The doped 1D Kondo Lattice describes complex competition between itinerant and magnetic ordering. The numerically computed wave vector-dependent charge and spin susceptibilities give insights into its low-energy properties. Similar to the prediction of the large N approximation, gapless spin and charge modes appear at the large Fermi wave vector. The highly suppressed spin velocity is a manifestation of “heavy” Luttinger liquid quasiparticles. A low-energy hybridization gap is detected at the small (conduction band) Fermi wave vector. In contrast to the exponential suppression of the Fermi velocity in the large-N approximation, we fit the spin velocity by a density-dependent power law of the Kondo coupling. The differences between the large-N theory and our numerical results are associated with the emergent magnetic Ruderman–Kittel–Kasuya–Yosida interactions.

Original languageEnglish
Pages (from-to)5140-5144
Number of pages5
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number20
StatePublished - 15 May 2018


  • Kondo lattice
  • heavy fermions
  • magnetism
  • strongly correlated systems

All Science Journal Classification (ASJC) codes

  • General

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