Hybridization oscillation in the one-dimensional Kondo-Heisenberg model with Kondo holes

TL;DR

This study uses DMRG to analyze how Kondo holes induce spatial oscillations in hybridization, charge density, and spin correlations in a 1D Kondo-Heisenberg model, revealing early formation of heavy electrons.

Contribution

It uncovers the oscillation patterns of hybridization caused by Kondo holes and links these to the Fermi surface properties before its full formation.

Findings

Hybridization oscillations decay exponentially with distance from Kondo holes.

Oscillation wavelength matches the Fermi wavevector of the large Fermi surface.

Heavy electrons are present and begin to accumulate before the Fermi surface fully forms.

Abstract

We use the density matrix renormalization group method to study the properties of the one-dimensional Kondo-Heisenberg model doped with Kondo holes. We find that the perturbation of the Kondo holes to the local hybridization exhibits spatial oscillation pattern and its amplitude decays exponentially with distance away from the Kondo hole sites. The hybridization oscillation is correlated with both the charge density oscillation of the conduction electrons and the oscillation in the correlation function of the Heisenberg spins. In particular, we find that the oscillation wavelength for intermediate Kondo couplings is given by the Fermi wavevector of the large Fermi surface even before it is formed. This suggests that heavy electrons responsible for the oscillation are already present in this regime and start to accumulate around the to-be-formed large Fermi surface in the Brillouin zone.