Hall Crystal States at $ν=2$ and Moderate Landau Level Mixing

Details Hall Crystal States at $ν=2$ and Moderate Landau Level Mixing Hall Crystal States at $ν=2$ and Moderate Landau Level Mixing

2000-03-28

arxiv.org/abs/cond-mat/0003459v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Final version to appear in PRL. Two references added, minor changes to figures and text

Scientific paper

10.1103/PhysRevLett.85.1954

The $\nu=2$ quantum Hall state at low Zeeman coupling is well-known to be a translationally invariant singlet if Landau level mixing is small. At zero Zeeman interaction, as Landau level mixing increases, the translationally invariant state becomes unstable to aninhomogeneous state. This is the first realistic example of a full Hall crystal, which shows the coexistence of quantum Hall order and density wave order. The full Hall crystal differs from the more familiar Wigner crystal by a topological property, which results in it having only linearly dispersing collective modes at small $q$, and no $q^{3/2}$ magnetophonon. I present calculations of the topological number and the collective modes.

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