Interference of the ballistic charge carriers in one-dimensional (1D) rings
formed by two quantum wires in the self-ordered silicon quantum wells was
investigated for the first time. The charge carrier transmission coefficien
t, which is dependent on the carrier energy, is calculated as a function of
the length and modulation depth of the parallel quantum wires. The wires c
an be linked to the two-dimensional reservoirs either by the common source-
drain system or by the quantum point contacts. It is predicted that the con
ductance of a 1D ring in the first case is four times higher than in the se
cond due to the carrier interference. The calculated dependences manifest t
hemselves in the conductance oscillations observed in the 1D silicon rings
upon varying the source-drain voltage or the external magnetic field. The r
esults obtained made it possible to design an Aharonov-Bohm interferometer
based on a 1D silicon ring in the weak localization mode; its characteristi
cs are demonstrated in the studies of the phase coherence in the tunneling
of single charge carriers through the quantum point contact. (C) 2000 MAIK
"Nauka / Interperiodica".