Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States

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Abstract

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. Observed anomalies at =25, 27 are explained by fluids deriving from a =13 parent.

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Cite This Study

F. D. M. Haldane (Mon,) studied this question.

synapsesocial.com/papers/69dd4add8557d5ab8f40cac1 https://doi.org/https://doi.org/10.1103/physrevlett.51.605

Discussion

Journals

Physical Review Letters

Institutions

University of Southern California

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