Fractional quantization of the hall effect: A hierarchy of incompressible quantum fluid states

F. D.M. Haldane

doi:10.1103/PhysRevLett.51.605

Fractional quantization of the hall effect: A hierarchy of incompressible quantum fluid states

F. D.M. Haldane

Research output: Contribution to journal › Article › peer-review

1841 Scopus citations

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.

Original language	English (US)
Pages (from-to)	605-608
Number of pages	4
Journal	Physical review letters
Volume	51
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevLett.51.605
State	Published - 1983
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.51.605

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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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year = "1983",

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AB - 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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Fractional quantization of the hall effect: A hierarchy of incompressible quantum fluid states

Abstract

All Science Journal Classification (ASJC) codes

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