Finite Size Effects on the Optical Transitions in Quantum Rings under a Magnetic Field

We present a theoretical study of the energy spectrum of single electron and hole states in quantum dots of annular geometry under a high magnetic field along the ring axis in the frame of uncorrelated electron-hole theory. We predict the periodic disappearance of the optical emission of the electron-hole pair as the magnetic field increases, as a consequence of the finite height of the barriers. The model has been applied to semiconductor rings of various internal and external radii, giving as limiting cases the disk and antidot.Comment: 22 pages, 7 figures, LaTeX, published in Eur. Phys. J. B 53, 99-108 (2006