Electronic structure of rectangular quantum dots

Abstract

We study the ground state properties of rectangular quantum dots by using the spin-density-functional theory and quantum Monte Carlo methods. The dot geometry is determined by an infinite hard-wall potential to enable comparison to manufactured, rectangular-shaped quantum dots. We show that the electronic structure is very sensitive to the deformation, and at realistic sizes the non-interacting picture determines the general behavior. However, close to the degenerate points where Hund's rule applies, we find spin-density-wave-like solutions bracketing the partially polarized states. In the quasi-one-dimensional limit we find permanent charge-density waves, and at a sufficiently large deformation or low density, there are strongly localized stable states with a broken spin-symmetry.Comment: 8 pages, 9 figures, submitted to PR

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Many-body approach to the terahertz response of Wigner molecules in gated nanowire structures

“…͑See, for example, Ref. 41. Here, charge-density waves have been observed as well.͒ In fact, within the BBCI scheme, the electronic spin is naturally included in terms of the chosen single-particle basis and associated matrix elements.…”

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