Hall crystal states at v = 2 and moderate landau level mixing

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17 Scopus citations


The v = 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 an inhomogeneous 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 q3/2 magnetophonon. I present calculations of the topological number and the collective modes.

Original languageEnglish
Pages (from-to)1954-1957
Number of pages4
JournalPhysical Review Letters
Issue number9
StatePublished - 2000

ASJC Scopus subject areas

  • General Physics and Astronomy


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