Roto-vibrational spectrum and Wigner crystallization in two-electron parabolic quantum dots

Details Roto-vibrational spectrum and Wigner crystallization in two-electron parabolic quantum dots Roto-vibrational spectrum and Wigner crystallization in two-electron parabolic quantum dots

2003-08-21

arxiv.org/abs/cond-mat/0308430v2

Phys.Rev.B, v.69, 125315 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 8 figures, replaced by the published version

Scientific paper

10.1103/PhysRevB.69.125315

We provide a quantitative determination of the crystallization onset for two electrons in a parabolic two-dimensional confinement. This system is shown to be well described by a roto-vibrational model, Wigner crystallization occurring when the rotational motion gets decoupled from the vibrational one. The Wigner molecule thus formed is characterized by its moment of inertia and by the corresponding sequence of rotational excited states. The role of a vertical magnetic field is also considered. Additional support to the analysis is given by the Hartree-Fock phase diagram for the ground state and by the random-phase approximation for the moment of inertia and vibron excitations.

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