Electron transport through a one-dimensional ring connected with two external leads, in the presence of spin-orbit interaction (SOI) of strength $\alpha$ and a perpendicular magnetic field is studied. Applying Griffith’s boundary conditions we derive analytic expressions for the reflection and transmission coefficients of the corresponding one-electron scattering problem. We generalize earlier conductance results by Nitta et al. [Appl. Phys. Lett. 75, 695 (1999)] and investigate the influence of $\alpha ,$ temperature, and a weak magnetic field on the conductance. Varying $\alpha$ and temperature changes the position of the minima and maxima of the magnetic-field dependent conductance, and it may even convert a maximum into a minimum and vice versa.

• Received 16 September 2003

DOI:https://doi.org/10.1103/PhysRevB.69.155335