2005/03/31 by B. Szafran, F. M. Peeters · 7 citations
Computer Science · Engineering · Physics and Astronomy · #Molecular Junctions and Nanostructures #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.72.165301
published as Phys. Rev. B 72, 165301 (2005)
openalex publication_date 2005/10/03 · arxiv created 2005/10/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The time-dependent Schr"odinger equation for an electron passing through a semiconductor quantum ring of nonzero width is solved in the presence of a perpendicular homogeneous magnetic field. We study the effects of the Lorentz force on the Aharonov-Bohm oscillations. Within the range of incident momentum for which the ring is transparent at zero magnetic field, the Lorentz force leads to a decrease of the oscillation amplitude, due to the asymmetry in the electron injection in the two arms of the ring. For structures in which the fast electrons are predominantly backscattered, the Lorentz force assists in the transport, producing an initial increase of the corresponding oscillation amplitude. Furthermore, we discuss the effect of elastic scattering on a potential cavity within one of the arms of the ring. For the cavity tuned to shift maximally the phase of the maximum of the wave packet we observe a \ensuremathπ shift of the Aharonov-Bohm oscillations. For other cavity depths oscillations with a period of half of the flux quantum are observed.