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Khait, Ilia; Azaria, Patrick; Hubig, Claudius; Schollwoeck, Ulrich; Auerbach, Assa (2018): Doped Kondo chain, a heavy Luttinger liquid. In: Proceedings of the National Academy of Sciences of the United States of America, Vol. 115, No. 20: pp. 5140-5144
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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.