Broken Symmetries in the Reconstruction of v=1 Quantum Hall Edges

Details Broken Symmetries in the Reconstruction of v=1 Quantum Hall Edges Broken Symmetries in the Reconstruction of v=1 Quantum Hall Edges

1999-08-14

arxiv.org/abs/cond-mat/9908208v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Proceedings of the EP2DS, Ottawa (1999) (submitted to Physica E)

Scientific paper

10.1016/S1386-9477(99)00065-X

Spin-polarized reconstruction of the v=1 quantum Hall edge is accompanied by a spatial modulation of the charge density along the edge. We find that this is also the case for finite quantum Hall droplets: current spin density functional calculations show that the so-called Chamon-Wen edge forms a ring of apparently localized electrons around the maximum density droplet (MDD). The boundaries of these different phases qualitatively agree with recent experiments. For very soft confinement, Chern-Simons Ginzburg-Landau theory indicates formation of a non-translational invariant edge with vortices (holes) trapped in the edge region.

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