Doped Kondo chain, a heavy Luttinger liquid

Abstract

The one dimensional $SU(2)$ Kondo Lattice model is studied by Density Matrix Renormalization Group away from half-filling. We find signatures of a Heavy Tomonaga-Luttinger Liquid (HTLL) phase, which describes one dimensional Heavy Fermions. We compute the wave-vector dependent charge and spin susceptibilities. Our results establish divergent charge and spin correlations at the large Fermi surface $k_F+\pi /2$, and its harmonics. We also find a signature of the hybridization gap at the small Fermi surface. We compare our $N=2$ results to the large-$N$ Slave Bosons mean field theory of the $SU(N)$ Kondo Lattice model, and find crucial effects of the RKKY interactions on the generation of renormalized effective mass for the $N=2$ model.

4 pages + supplemental information. An early version of the final paper which was submitted to PNAS

References in corpus (8)

• Real time evolution using the density matrix renormalization group
• Visualizing heavy fermions emerging in a quantum critical Kondo lattice
• A Strictly Single-Site DMRG Algorithm with Subspace Expansion
• Pair Density Wave correlations in the Kondo-Heisenberg Model
• Dimerization induced by the RKKY interaction
• Ferromagnetic state in the one-dimensional Kondo lattice model
• Small Fermi surface in the one-dimensional Kondo lattice model
• Correlation exponent K_rho of the one-dimensional Kondo lattice model

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