Hierarchical Wigner Crystal at the Edge of Quantum Hall Bar

Physics – Condensed Matter

Scientific paper

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LaTEX file. Ps figures upon request

Scientific paper

10.1209/0295-5075/32/5/011

We show that quasiholes persist near the edge of incompressible Quantum Hall state forming a Wigner structure. The average density of quasiholes is fixed by electrostatics and decreases slowly with increasing distance from the edge. As we see from elementary reasoning, their specific arrangement can not be a regular Wigner lattice and shows a complex hierarchical structure of dislocations.

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