Phys. Rev. Lett. 55, 2095–2098 (1985)Many-Particle Translational Symmetries of Two-Dimensional Electrons at Rational Landau-Level FillingReceived 11 February 1985; published in the issue dated 11 November 1985 In contrast to previous treatments, a new analysis of two-dimensional many-electron systems subject to periodic boundary conditions in a magnetic field leads to a fully two-dimensional structure of the quantum numbers at rational Landau-level filling. The structure of the new symmetry analysis has an intrinsically many-particle character. Full agreement between numerical studies of quantized-Hall-effect systems in periodic and spherical geometries is achieved, and the problem of ground-state degeneracy is clarified. © 1985 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.55.2095
DOI:
10.1103/PhysRevLett.55.2095
PACS:
05.30.Fk, 71.45.-d
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