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Author Dayi, O. F. ♦ Jellal, A.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2001-11-29
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword High Energy Physics - Theory ♦ Condensed Matter ♦ physics:cond-mat ♦ physics:hep-th
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 \theta 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.
Description Reference: J.Math.Phys. 43 (2002) 4592; Erratum-ibid. 45 (2004) 827
Educational Use Research
Learning Resource Type Article
Page Count 13


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