Path-Integral Quantum Monte Carlo Techniques for Self-Assembled Quantum Dots

Authors: Harowitz, Matthew¹; Shin, Daejin¹; Shumway, John¹

Source: Journal of Low Temperature Physics, Volume 140, Numbers 3-4, August 2005 , pp. 211-226(16)

Publisher: Springer

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Abstract:

We have developed a set of path integral quantum Monte Carlo techniques for studying self-assembled quantum dots. The simulations can be run in two or three dimensions, with a variety of different effective mass models. Our most realistic simulations start from an atomistic model of dot shape, size, and composition, then compute strain-modified band offsets to use as input for the path integral algorithms. We have studied charge distributions and total energies for different numbers of electrons and holes in a variety of InGaAs/GaAs quantum dots. New techniques allow us to apply external electronic and magnetic fields. We have also gone beyond the parabolic band approximation by including an energy-dependent effective mass (in mathematical analogy to relativistic kinetic energy). Finally, we describe a path-integral method for calculating the degree to which biexcitonic correlation suppresses radiative recombination rates.

Document Type: Research article

DOI: 10.1007/s10909-005-6309-6

Affiliations: 1: Department of Physics and Astronomy, Arizona State University, Tempe, AZ, 85287-1504, USA,

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