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Spin Ensemble Density Functional Theory for Inhomogeneous Quantum Hall Systems

M. I. Lubin·O. Heinonen·M. D. Johnson
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Abstract

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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M. I. Lubin, O. Heinonen, M. D. Johnson. 1997-01-10. Spin Ensemble Density Functional Theory for Inhomogeneous Quantum Hall Systems. https://doi.org/10.1103/physrevb.56.10373

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