Phys. Rev. Lett. 51, 605–608 (1983)Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid StatesReceived 28 June 1983; published in the issue dated 15 August 1983 With use of spherical geometry, a translationally invariant version of Laughlin's proposed "incompressible quantum fluid" state of the two-dimensional electron gas is formulated, and extended to a hierarchy of continued-fraction Landau-level filling factors ν. Observed anomalies at ν=2/5,2/7 are explained by fluids deriving from a ν=1/3 parent. © 1983 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.51.605
DOI:
10.1103/PhysRevLett.51.605
PACS:
71.45.Nt, 72.20.Nt, 73.40.Lq
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