Studies of electron phase coherence in open quantum dots reveal a subt
le interplay between geometry and materials-related considerations. Su
ppressing environmental coupling, by reducing the width of the quantum
point contact leads, a strong suppression of dephasing is observed. T
he magnitude of the phase-breaking time in this high-resistance regime
shows large variations from device to device, indicative of a sensiti
vity to the specific disorder configuration in the dot. In order to ac
count for our observations, we suggest an interpretation of phase brea
king which invokes the discrete nature of the level spectrum in the op
en dots and which emphasizes the role of the quantum point contacts in
selectively exciting cavity eigenstates.