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Skyrme Crystal In A Two-Dimensional Electron Gas

L. Brey·H. A. Fertig·R. Cote·A. H. MacDonald
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Abstract

The ground state of a two-dimensional electron gas at Landau level filling factors near $ν=1$ is a Skyrme crystal with long range order in the positions and orientations of the topologically and electrically charged elementary excitations of the $ν=1$ ferromagnetic ground state. The lowest energy Skyrme crystal is a square lattice with opposing postures for topological excitations on opposite sublattices. The filling factor dependence of the electron spin-polarization, calculated for the square lattice Skyrme crystal, is in excellent agreement with recent experiments.

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L. Brey, H. A. Fertig, R. Cote, A. H. MacDonald. 1995-05-31. Skyrme Crystal In A Two-Dimensional Electron Gas. https://doi.org/10.1103/physrevlett.75.2562

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