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We study the spin-dependent transport of spin-1/2 electrons through aninterferometer made of two elongated quantum dots or quantum nanowires, whichare subject to both an Aharonov-Bohm flux and (Rashba and Dresselhaus)spin-orbit interactions. Similar to the diamond interferometer proposed in ourprevious papers [Phys. Rev. B {\bf 84}, 035323 (2011); Phys. Rev. B {\bf 87},205438 (2013)], we show that the double-dot interferometer can serve as aperfect spin filter due to a spin interference effect. By appropriately tuningthe external electric and magnetic fields which determine the Aharonov-Casherand Aharonov-Bohm phases, and with some relations between the various hoppingamplitudes and site energies, the interferometer blocks electrons with aspecific spin polarization, independent of their energy. The blockedpolarization and the polarization of the outgoing electrons is controlledsolely by the external electric and magnetic fields and do not depend on theenergy of the electrons. Furthermore, the spin filtering conditions becomesimpler in the linear-response regime, in which the electrons have a fixedenergy. Unlike the diamond interferometer, spin filtering in the double-dotinterferometer does not require high symmetry between the hopping amplitudesand site energies of the two branches of the interferometer and thus may bemore appealing from an experimental point of view.

Spin filtering in a Rashba-Dresselhaus-Aharonov-Bohm double-dot interferometer