Dipolar Transformations of 2D Distributions of Quantum Dots

Abstract

We study the paraelectric and ferroelectric properties of two-dimensional distributions of quantum dots of three different geometries of the confinement potential: spherical, cylindrical, and conical. We numerically obtain the quantum states, the average dipolar moment, and the susceptibility. A mean field approximation for interactive quantum dot arrays allows the observation of transformations in the electric susceptibility. These transformations resemble the paraelectric-ferroelectric transition in molecular ferroelectric materials; however, in the quantum dots arrays, these transformations are not sharply defined.