Splitting of the Kondo resonance in anisotropic magnetic impurities on surfaces

Abstract

Using the numerical renormalization group method, we study the splitting of the Kondo resonance by a magnetic field applied in different directions in the Kondo model for anisotropic magnetic impurities. Several types of magnetic anisotropy are considered: the XXZ exchange coupling anisotropy J_perp J_z, the longitudinal magnetic anisotropy DS_z^2, and the transverse magnetic anisotropy E(S_x^2-S_y^2). In the spin-1/2 model with the XXZ exchange coupling anisotropy we find very small direction dependence in the magnitude of the splitting. In the spin-3/2 model with the easy-plane (D>0) anisotropy, we observe very unequal magnitudes with further differences between x and y directions in the presence of an additional transverse anisotropy. A simple and rather intuitive interpretation is that the splitting is larger in magnetically soft directions. The magnitude of the splitting is directly related to the energy differences between spin states and it is only weakly modified by some multiplicative factor due to Kondo screening. The results for the S=3/2 model are in good agreement with recent scanning tunneling spectroscopy studies of Co impurities adsorbed on CuN islands on Cu(100) surfaces [A. F. Otte et al., Nature Physics 4, 847 (2008)]

12 pages, 5 figures

References in corpus (11)

• The numerical renormalization group method for quantum impurity systems
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• Theory of inelastic scattering from magnetic impurities
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• The Spin-Polarization of the Split Kondo State
• Tracking a Spin-Polarized Superconducting Bound State across a Quantum Phase Transition
• The scaling feature of the magnetic field induced Kondo-peak splittings
• Anisotropic Kondo screening induced by spin-orbit coupling in quantum wires
• Electron spin secluded inside a bottom-up assembled standing metal-molecule nanostructure
• Concurrence of directional Kondo transport and incommensurate magnetic order in the layered material AgCrSe${}_2$
• Local density of states of the interacting resonant level model at zero temperature
• Symmetry mediated tunable molecular magnetism on a 2D material
• Phases and phase transitions of an $S=3/2$ chain on metallic and semi-metallic surfaces
• Distinct effect of Kondo physics on crystal field splitting in electron and spin spectroscopies