Collective Excitations of Two-Dimensional Electron Solids and Correlated Quantum Liquids in High Magnetic Fields

  • G. Meissner
  • U. Brockstieger
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 87)


A simple but rigorous approach will be presented for studying the nature of intra-Landau level collective excitations of interacting electrons fully polarized in a perpendicular magnetic field with partial filling of the lowest Landau level. A finite gap, due to correlations in the density fluctuations of the centers of cyclotron orbits, or no gap, due to crystalline-like correlations because of broken magnetic translational invariance are shown to exist rigorously in the long-wavelength limit of low-lying collective excitations in two condensed phases, i.e., an incompressible quantum liquid and a two-dimensional electron quantum solid, respectively.


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Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • G. Meissner
    • 1
  • U. Brockstieger
    • 1
  1. 1.Theoretische PhysikUniversität des SaarlandesSaarbrückenFed. Rep. of Germany

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