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On the Hall rule in the theory of benzenoid hydrocarbons
International Journal of Quantum Chemistry, 1999In 1973, Hall noticed that the total π-electron energy (E) of isomeric benzenoid hydrocarbons is a linear function of the number of Kekule structures (K). Since then, this remarkable rule has been confirmed on a plethora of examples. Twenty years later, it was discovered that for large benzenoids (with nine or more hexagons) the E–K dependence is ...
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Spin statistics connection and selection rule in the quantum Hall effect
Journal of Physics C: Solid State Physics, 1985The selection rule in the quantum Hall effect is derived from the generalised spin statistics connection. For a two-dimensional fermion system, a necessary condition to have the quantum Hall effect at a filling factor v=p/q (p and q are mutual primes) is exp(ipq pi )=exp(ip2 pi ); hence q must be an odd integer.
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Some General Input-output Rules Governing Hall Coefficient Behavior
1980Many calculations of the ordinary weak-field Hall coefficient have been carried out during the 100 years since its discovery. This paper examines a subset of those calculations which apply to transport models satisfying certain constraints. A set of general rules are developed which link the behavior of the Hall factor r (Ro = r/ne) to three basic ...
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The Hall coefficient and deviations from Nordheim's rule in α - phase copper alloys
Physics Letters A, 1971Abstract A correspondence has been noted between a parameter Λ, introduced by Linde, as a measure of the deviation from Nordheim's rule, and the behaviour of the Hall coefficient in concentrated α-phase copper alloys.
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Observation of fractionally quantized anomalous Hall effect
Nature, 2023Heonjoon Park, Jiaqi Cai, Eric Anderson
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Signatures of fractional quantum anomalous Hall states in twisted MoTe2
Nature, 2023Jiaqi Cai, Eric Anderson, Yuchi He
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