Abstract
We investigate a periodic system of vertically stacked InAs/GaAs quantum dots (VSQD) subjected to a two-dimensional confining harmonic potential and a magnetic field in the symmetric gauge. Given the tiny length scales, adequate lateral confinement, and strong vertical coupling involved in the experiments, the VSQD system has become known for mimicking the standard semiconducting quantum wires. An exact analytical diagnosis of the problem allows us to show the system's direct relevance to the physics of musical sounds, magnetization, magnetotransport, and the designing of the optical amplifiers. The results suggest making the most of the system for applications in single-electron devices and quantum state transfer in the quantum computation and quantum communication networks.
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