Effect of the spin-orbit geometric phase on the spectrum of Aharonov-Bohm oscillations in a semiconductor mesoscopic ring

Taking into account the spin precession caused by the spin-orbit splitting of the conduction band in semiconductor quantum wells, we have calculated t he Fourier spectra of conductance and state-density correlators in a two-di mensional ring, in order to investigate the structure of the main peak corr esponding to Aharonov-Bohm oscillations. In narrow rings the peak structure is determined by the competition between the spin-orbit and the Zeeman cou plings. The latter leads to a peak broadening, and produces the peak splitt ing in the state-density Fourier spectrum. We have found an oscillation of the peak intensity as a function of the spinorbit coupling constant, and th is effect of the quantum interference caused by the spin geometric phase is destroyed with increasing Zeeman coupling. [S0163-1829(99)50928-4].