En. Bulgakov et Af. Sadreev, MESOSCOPIC RING UNDER THE INFLUENCE OF TIME-PERIODICAL FLUX - AHARONOV-BOHM OSCILLATIONS AND TRANSMISSION OF WAVE-PACKETS, Physical review. B, Condensed matter, 52(16), 1995, pp. 11938-11944
The Aharonov-Bohm oscillations in the transmission probability of a on
e-dimensional mesoscopic ring between two electrodes are considered nu
merically where a time-periodical flux gamma(t)=gamma+lambda cos omega
t is applied. Such a flux simulates a phase-coherent inelastic scatte
ring due to the absorption/emission processes of modulation quanta. An
increase of alternating flux amplitude lambda drastically changes the
Aharonov-Bohm oscillations of the transmission though the exact perio
d remains phi(0)=hc/e. A frequency dependence of the transmission has
abrupt steps at omega=(E-E(F))/n, caused by the locking of the transmi
ssion in the nth channel where EF is the Fermi level. Moreover, for tr
ansmission of a narrow wave packet the time-periodical flux gives rise
to two effects. The first is a fractioning of the input wave packet b
y the ring in such a way that the output wave function consists of a f
ew separate wave packets. Their number, distance apart, and height ess
entially depend on the static flux gamma. The second effect is a stron
g space squeezing of the output wave packet.