Spin Ensemble Density Functional Theory for Inhomogeneous Quantum Hall Systems

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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16 pages RevTex, 8 encapsulated Postscript figures. Submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.56.10373

We have developed an ensemble density functional theory which includes spin degrees of freedom for nonuniform quantum Hall systems. We have applied this theory using a local-spin-density approximation to study the edge reconstruction of parabolically confined quantum dots. For a Zeeman splitting below a certain critical value, the edge of completely polarized maximum density droplet reconstructs into a spin-unpolarized structure. For larger Zeeman splittings, the edge remains polarized and develops an exchange hole.

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