  Taking into account the spin precession caused by the spin-orbit splitting of
the conduction band in semiconductor quantum wells, we have calculated the
Fourier spectra of conductance and state-density correlators in a 2D ring, in
order to investigate the structure of the main peak corresponding to
Aharonov-Bohm oscillations. In narrow rings the peak structure is determined by
the competition between the spin-orbit and the Zeeman couplings. The latter
leads to a peak broadening, and produces the peak splitting in the
state-density Fourier spectrum. We have found an oscillation of the peak
intensity as a function of the spin-orbit coupling constant, and this effect of
the quantum interference caused by the spin geometric phase is destroyed with
increasing Zeeman coupling.

Mesoscale and Nanoscale Physics