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Ballistic spin resonance was experimentally observed in aquasi-one-dimensional wire by Frolov et al. [Nature (London) 458, 868 (2009)].The spin resonance was generated by a combination of an external staticmagnetic field and the oscillating effective spin-orbit magnetic field due toperiodic bouncings of the electrons off the boundaries of a narrow channel. Anincrease of the D'yakonov-Perel spin relaxation rate was observed when thefrequency of the spin-orbit field matched that of the Larmor precessionfrequency around the external magnetic field. Here we develop a model toaccount for the D'yakonov-Perel mechanism in multisubband quantum wires withboth the Rashba and Dresselhaus spin-orbit interactions. Considering elasticspin-conserving impurity scatterings in the time-evolution operator (Heisenbergrepresentation), we extract the spin relaxation time by evaluating thetime-dependent average of the spin operators. The magnetic field dependence ofthe nonlocal voltage, which is related to the spin relaxation time behavior,shows a wide plateau, in agreement with the experimental observation. Thisplateau arises due to injection in higher subbands and small-angle scattering.In this quantum mechanical approach, the spin resonance occurs near thespin-orbit induced energy anticrossings of the quantum wire subbands withopposite spins. We also predict anomalous dips in the spin relaxation time as afunction of the magnetic field in systems with strong spin-orbit couplings.

Ballistic spin resonance in multisubband quantum wires