Figure 1

Amplitudes of the waves touching the quantum wire. The lead connecting the wire and the ring is introduced for the sake of the simplification of the calculations. Its length is then put equal to zero.Reuse & Permissions

Figure 2

Dependence of the conductance on magnetic flux for different values of temperature and chemical potential if the Rashba SOI is absent: (a)—$\mu =5\mathrm{meV}$, (b)—$\mu =10\mathrm{meV}$, $\mathrm{T}=0\mathrm{K}$, and $\mathrm{T}=0.25\mathrm{K}$. The radius of the ring is $a=0.5\mathrm{mkm}$. ${\Phi }_0=\hslash c∕e$.Reuse & Permissions

Figure 3

Dependence of conductance on the chemical potential for different values of temperature and magnetic flux if the Rashba SOI is absent: (a)—$\Phi ∕{\Phi }_0=0$, (b)—$\Phi ∕{\Phi }_0=\pi ∕4$, $\mathrm{T}=0\mathrm{K}$, and $\mathrm{T}=0.1\mathrm{K}$. The radius of the ring is $a=0.5\mathrm{mkm}$. ${\Phi }_0=\hslash c∕e$.Reuse & Permissions

Figure 4

(a) Dependence of conductance on the Rashba SOI parameter for $\Phi ∕{\Phi }_0=0$. The lower part shows the Berry phase calculated by means of the formula (5): $\mu =10\mathrm{meV}$, $\mathrm{T}=0\mathrm{K}$, and $\mathrm{T}=0.25\mathrm{K}$. The radius of the ring is $a=0.5\mathrm{mkm}$. (b) The dependence of the conductance on the Rashba parameter for $\Phi ∕{\Phi }_0=\pi ∕2$. The lower part shows the spin polarization degree of the transmitted current: $\mu =10\mathrm{meV}$, $\mathrm{T}=0\mathrm{K}$, and $\mathrm{T}=0.25\mathrm{K}$. The radius of the ring is $a=0.5\mathrm{mkm}$. (c) The dependence of the conductance on the magnetic flux for $\alpha =8\times {10}^{-12}\mathrm{eV}\mathrm{m}$, $\mu =5\mathrm{meV}$. The radius of the ring is $a=0.5\mathrm{mkm}$. ${\Phi }_0=\hslash c∕e$. The lower part shows the spin polarization degree of the transmitted current.Reuse & Permissions

Figure 5

(a) The dependence of the intensity of the normal and half- period harmonics as a function of the chemical potential: $\alpha =0$, $T=0$. The radius of the ring is $a=0.5\mathrm{mkm}$. (b) The dependence of the intensity of the normal and half-period harmonics as a function of the Rashba SOI parameter $\alpha :\mu =5\mathrm{meV}$, $T=0$. The radius of the ring is $a=0.5\mathrm{mkm}$.Reuse & Permissions

Figure 6

The amplitudes of the waves scattered from the conjunction of three 1D leads.Reuse & Permissions