Kondo Insulators Modeled by the One Dimensional Anderson Lattice: A Numerical Renormalization Group Study

Abstract

In order to better understand Kondo insulators, we have studied both the symmetric and asymmetric Anderson lattices at half-filling in one dimension using the density matrix formulation of the numerical renormalization group. We have calculated the charge gap, spin gap and quasiparticle gap as a function of the repulsive interaction U using open boundary conditions for lattices as large as 24 sites. We find that the charge gap is larger than the spin gap for all U for both the symmetric and asymmetric cases. RKKY interactions are evident in the f-spin-f-spin correlation functions at large U in the symmetric case, but are suppressed in the asymmetric case as the f-level approaches the Fermi energy. This suppression can also be seen in the staggered susceptibility and it is consistent with neutron scattering measurements in CeNiSn.

32 pages, Latex file with Postcript figures.

References in corpus (1)

• Large-Scale Numerical Evidence for Bose Condensation in the S=1 Antiferromagnetic Chain in a Strong Field

Cited by in corpus (19)

• The density-matrix renormalization group
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• Field induced magnetic ordering transition in Kondo insulators
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• Phase Diagram of the 1D Anderson Lattice
• Density Matrix Renormalization Group Study of One-Dimensional Acoustic Phonons
• An Anderson Impurity in a Semiconductor
• Two-channel Kondo Lattice Model on a ladder studied by the Density Matrix Renormalization Group Method
• Impurity-Induced Antiferromagnetic Domains in the Periodic Anderson Model
• Critical Ising modes in low-dimensional Kondo insulators
• Interorbital interaction in the one-dimensional periodic Anderson model: A density-matrix renormalization-group study
• A Numerical Renormalization Group Study of a Kondo Hole in a One Dimensional Kondo Insulator
• Electron liquid state in the symmetric Anderson lattice
• Magnetism in the dilute Kondo lattice model
• Spin liquid state in an inhomogeneous periodic Anderson model
• Electron liquid state in the spin-1/2 anisotropic Kondo lattice
• Density-matrix renormalization using three classes of block states
• Magnetic effects on Chern Kondo insulator