Kondo effect in a spin-orbit coupled quantum wire under the influence of an external magnetic field

We performed a detailed study of the Kondo effect occurring in a quantum dot coupled to a nanowire with Rashba and Dresselhaus spin-orbit couplings (SOC) subjected to an external magnetic field. We report the results for local static and dynamic physical properties of the dot in the Kondo regime obtained through the Numerical Renormalization Group method. Despite the SOC-induced magnetic anisotropy of the bands, the local quantum dot properties remain isotropic in the spin space at zero external field. However, when an external magnetic field is applied to the system, clear fingerprints of the SOC-induced anisotropy are revealed through the quantum dot physical properties that become dependant on the direction of the field. We demonstrate that the quantitative evaluation of this SOC-induced anisotropy, measured by tunneling spectroscopy techniques, can be used to determine the ratio of Rashba and Dresselhaus SOC strengths in the wire.