Electrons-Holes on Noncommutative Plane and Hall Effect

dc.creatorJellal, Ahmed
dc.date2002-07-30
dc.date.accessioned2026-07-07T04:13:55Z
dc.date.available2026-07-07T04:13:55Z
dc.descriptionBy considering N_e-electrons and N_h-holes together in uniform external magnetic and electric fields, we end up with a total Hall conductivity σ_{H}^{tot}, which is depending to the difference between N_e and N_h and becomes null when N_e=N_h. Dealing with the same system but requiring that the coordinates of plane are noncommuting, we obtain a new Hall conductivity σ_{H}^{(tot,nc)}. In the limit N_e=N_h, we find that σ_{H}^{(tot,nc)} is only noncommutativity parameters θ_i-dependent, which means that theoretically it is possible to have Hall effect without B. Moreover, at the critical points θ_e=l^2 and θ_h=-l^2, we find that σ_{H}^{(tot,nc)} becomes two times the usual Hall conductivity for an noninteracting mixing system.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0207269
dc.identifierhttp://arxiv.org/abs/hep-th/0207269
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51438
dc.subjectHigh Energy Physics - Theory
dc.titleElectrons-Holes on Noncommutative Plane and Hall Effect
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