Jp. Bird et al., PERIODIC CONDUCTANCE FLUCTUATIONS AND LEAD-INDUCED SCARRING IN OPEN QUANTUM DOTS, Journal of physics. Condensed matter, 9(27), 1997, pp. 5935-5950
We consider the nature of ballistic electron transport in open mesosco
pic cavities, coupled to external reservoirs by means of few-mode quan
tum point contacts. The devices vary in size over a wide range and the
discrete nature of their electronic energy spectrum is expected to st
rongly influence the resulting electrical behaviour. Electron interfer
ence is also an important process in these devices and is investigated
through studies of their low-temperature magneto-resistance. This is
found to be characterized by regular fluctuations, which numerical sim
ulations reveal to be associated with periodically recurring wavefunct
ion scarring. Further analysis shows that the scarring is established
by the collimating action of the injecting point contact, the quantum
mechanical nature of which ensures that just a few cavity modes are ex
cited to participate in transport. We therefore conclude that chaotic
scattering is suppressed in mesoscopic cavities once their discrete qu
antum mechanical nature becomes resolved. Transport then instead occur
s via a small number of regular orbits, which are stabilized by the ro
le of the quantum point contact leads and the discrete quantization wi
thin the cavity itself. These long orbits give rise to well defined wa
vefunction scarring with measurable magneto-transport results.