Kondo Effect in the Presence of Spin-Orbit Coupling

Abstract

Recently, a series of noncentrosymmetric superconductors has been a subject of considerable interest since the discovery of superconductivity in CePt_3Si. In noncentrosymmetric materials, the degeneracy of bands is lifted in the presence of spin-orbit coupling. This will bring about new effects in the Kondo effect since the band degeneracy plays an important role in the scattering of electrons by localized spins. We investigate the single-impurity Kondo problem in the presence of spin-orbit coupling. We examine the effect of spin-orbit coupling on the scattering of conduction electrons, by using the Green's function method, for the s-d Hamiltonian, with employing a decoupling procedure. As a result, we obtain a closed system of equations of Green's functions, from which we can calculate physical quantities. The Kondo temperature T_K is estimated from a singularity of Green's functions. We show that T_K is reduced as the spin-orbit coupling constant αis increased. When 2αk_F is comparable to or greater than k_BT_K(α=0), T_K shows an abrupt decrease as a result of the band splitting. This suggests a Kondo collapse accompanied with a sharp decrease of T_K. The log T-dependence of the resistivity will be concealed by the spin-orbit interaction.

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References in corpus (7)

• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• S-wave/spin-triplet order in superconductors without inversion symmetry: Li${}_2$Pd${}_3$B and Li${}_2$Pt${}_3$B
• Evidence for time-reversal symmetry breaking in the non-centrosymmetric superconductor LaNiC${}_2$
• Spin Triplet Superconducting State due to Broken Inversion Symmetry in Li_2Pt_3B
• CePt3Si: an unconventional superconductor without inversion center
• Enhancement of the Kondo effect through Rashba spin-orbit interactions
• The Kondo effect in the presence of the Rashba spin-orbit interaction

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• Suppression of the Kondo Resistivity Minimum in Magnetic Topological Insulators
• Probing the Rashba effect via the induced magnetization around a Kondo impurity
• Deformation of the Fermi Surface and Anomalous Mass Renormalization by Critical Spin Fluctuations through Asymmetric Spin-Orbit Interaction
• Influence of Rashba spin-orbit coupling on the 0-$\pi$ transition and Kondo temperature in 1D superconductors
• Kondo screening in two-dimensional $p$-type transition-metal dichalcogenides
• Zero-energy modes, fractional fermion numbers and the index theorem in a vortex-Dirac fermion system
• Antisymmetric Spin-Orbit Coupling Effect on Kondo-Induced Electric Polarization in a Triangular Triple Quantum Dot
• Kondo effect in a Aharonov-Casher interferometer
• Fractional Local Moment and High Temperature Kondo Effect in Rashba-Fermi Gases