TY - JOUR
T1 - Hall crystal states at v = 2 and moderate landau level mixing
AU - Murthy, Ganpathy
PY - 2000
Y1 - 2000
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.85.1954
DO - 10.1103/PhysRevLett.85.1954
M3 - Article
AN - SCOPUS:6744222862
SN - 0031-9007
VL - 85
SP - 1954
EP - 1957
JO - Physical Review Letters
JF - Physical Review Letters
IS - 9
ER -