Figure 1

The Kondo temperature $T_K$ as a function of the Rashba angle $\theta$ and the ordinary Luttinger parameter $K_0$, for four different values of the Dresselhaus angle $\varphi$. Note that the temperature scale is logarithmic, and the vanishing Kondo temperature at $\theta ,\varphi =\pi /2$ simply reflects the diverging spin-orbit coupling strength in these limits. Left column: $J_x=J_y\ge J_z$ (here with $J_x/a=J_z/a=10$ meV). Right column: $J_x=J_y<J_z$ (here with $J_x/a=5$ meV and $J_z/a=50$ meV). In the black (white) shaded area, $J_{yz}$ ($J_{xz}$) dominates the perturbative RG flow, hence preventing the low-temperature formation of a Kondo singlet.Reuse & Permissions

Figure 2

The “phase diagram,” showing which Kondo coupling constant that dominates the low-temperature behavior when $J_x=J_y<J_z$ (here with the same parameter values as for the right column). Dark and light blue ($J_x^{\prime }$ and $J_y^{\prime }$, respectively) means the formation of a singlet between the electrons and impurity below the Kondo temperature. Red and orange ($J_{yz}$ and $J_{xz}$, respectively) denotes the “dome” within which the singlet formation is obstructed since instead the $J_{yz}{\sigma }^y{S}^{\prime z}$ or $J_{xz}{\sigma }^x{S}^{\prime z}$ interactions will dominate.Reuse & Permissions

Figure 3

The backscattered current $\delta I$ due to the Kondo impurity, for different values of the Rashba and Dresselhaus angles $\theta$ and $\varphi$ (parametrizing the strengths of the spin-orbit interactions), and the Luttinger parameter $K_0$. Left: Current-voltage characteristics for $\delta I$ at fixed temperature $T$. Right: $\delta I$ at fixed voltage and temperature, plotted as a function of the Rashba angle $\theta$. The coupling constants have been RG improved at the fixed temperature. With typical parameter values as discussed in the text, voltages on the order of 1 mV at temperatures in the mK regime will give current corrections $\delta I$ on the order of a nA.Reuse & Permissions