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Aperta - TÜBİTAK Açık Arşivi
Other literature type . 2002
License: CC BY
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zbMATH Open
Article . 2004
Data sources: zbMATH Open
Journal of Mathematical Physics
Article . 2002 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2001
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Hall effect in noncommutative coordinates

Hall effect in noncommutative coordinates.
Authors: Dayi OF; Jellal A;

Hall effect in noncommutative coordinates

Abstract

We consider electrons in uniform external magnetic and electric fields which move on a plane whose coordinates are noncommuting. Spectrum and eigenfunctions of the related Hamiltonian are obtained. We derive the electric current whose expectation value gives the Hall effect in terms of an effective magnetic field. We present a receipt to find the action which can be utilized in path integrals for noncommuting coordinates. In terms of this action we calculate the related Aharonov–Bohm phase and show that it also yields the same effective magnetic field. When magnetic field is strong enough this phase becomes independent of magnetic field. Measurement of it may give some hints on spatial noncommutativity. The noncommutativity parameter θ can be tuned such that electrons moving in noncommutative coordinates are interpreted as either leading to the fractional quantum Hall effect or composite fermions in the usual coordinates.

Country
South Africa
Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Many-body theory; quantum Hall effect, Condensed Matter (cond-mat), Noncommutative geometry in quantum theory, FOS: Physical sciences, Condensed Matter, Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
121
Top 10%
Top 10%
Top 10%
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bronze