Doped Kondo chain, a heavy Luttinger liquid

Author:

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

Abstract

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.

Funder

United States - Israel Binational Science Foundation

Israel Science Foundation

Kavli Institute for Theoretical Physics, University of California, Santa Barbara

Publisher

Proceedings of the National Academy of Sciences

Subject

Multidisciplinary

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