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On the Hall rule in the theory of benzenoid hydrocarbons

International Journal of Quantum Chemistry, 1999
In 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, 1985
The 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

1980
Many 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, 1971
Abstract 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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Anomalous Hall antiferromagnets

Nature Reviews Materials, 2022
Libor Šmejkal   +2 more
exaly  

Colloquium : Quantum anomalous Hall effect

Reviews of Modern Physics, 2023
Cui-Zu Chang
exaly  

Observation of fractionally quantized anomalous Hall effect

Nature, 2023
Heonjoon Park, Jiaqi Cai, Eric Anderson
exaly  

Quantum hall effect: A sum rule

Surface Science Letters, 1984
openaire   +1 more source

The quantum anomalous Hall effect reloaded

Nature Reviews Materials, 2021
exaly  

Signatures of fractional quantum anomalous Hall states in twisted MoTe2

Nature, 2023
Jiaqi Cai, Eric Anderson, Yuchi He
exaly  

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