Open Problems in Quantum Simulation in Ultra-Submicron Devices

Quantum transport is becoming more significant as device size shrinks. For example, asdevice sizes are scaled below 0.1 μm, the number of impurities becomes quite small, sothat they are no longer homogeneously distributed throughout the device volume andthe carriers are localized into quantum boxes, in that self-energy corrections produced bylocally high carrier densities will lead to quantum dot formation. This leads to the needto discuss transport through an array of such quantum structures. Here, we discussseveral issues which must be considered in treating the transport through such devices