International audienceWe address the problem of persistent charge and spin currents on a Corbino disk built from a graphene sheet. We consistently derive the Hamiltonian including kinetic, intrinsic (ISO), and Rashba spin- orbit interactions in cylindrical coordinates. The Hamiltonian is carefully considered to reflect hermiticity and covariance. We compute the energy spectrum and the corresponding eigenfunctions separately for the intrinsic and Rashba spin- orbit interactions. In order to determine the charge persistent currents, we use the spectrum equilibrium linear response definition. We also determine the spin and pseudospin polarizations associated with such equilibrium currents. For the intrinsic case, one can also compute the correct currents by applying the bare velocity operator to the ISOwave functions or alternatively the ISO group velocity operator to the free wave functions. Charge currents for both SO couplings are maximal in the vicinity of half- integer flux quanta. Such maximal currents are protected from thermal effects because the contributing levels plunge (similar to 1 K) into the Fermi sea at half- integer flux values. Such a mechanism, makes them observable at readily accessible temperatures. Spin currents only arise for the Rashba coupling, due to the spin symmetry of the ISO spectrum. For the Rashba coupling, spin currents are canceled at half- integer fluxes but they remain finite in the vicinity, and the same scenario as above protects spin currents

A spin filtering device based on quantum spin interference is addressed, for use with a two-dimensional GaAs/AlGaAs electron gas that has both Rashba and Dresselhaus spin-orbit (SO) couplings and an applied external magnetic field. We propose an experimentally feasible electronic Mach-Zehnder interferometer and derive a map, in parameter space, that determines perfect spin filtering conditions. We find two broad spin filtering regimes: one where filtering is achieved in the original incoming quantization basis, that takes advantage of the purely non-Abelian nature of the spin rotations; and another where one needs a tilted preferential axis in order to observe the polarized output spinor. Both solutions apply for arbitrary incoming electron polarization and energy, and are only limited in output amplitude by the randomness of the incoming spinor state. Including a full account of the beam splitter and mirror effects on spin yields solutions only for the tilted basis, but encompasses a broad range of filtering conditions.