Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-07-30
Physics
High Energy Physics
High Energy Physics - Theory
13 pages
Scientific paper
By considering N_e-electrons and N_h-holes together in uniform external magnetic and electric fields, we end up with a total Hall conductivity \sigma_{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 \sigma_{H}^{(tot,nc)}. In the limit N_e=N_h, we find that \sigma_{H}^{(tot,nc)} is only noncommutativity parameters \theta_i-dependent, which means that theoretically it is possible to have Hall effect without B. Moreover, at the critical points \theta_e=l^2 and \theta_h=-l^2, we find that \sigma_{H}^{(tot,nc)} becomes two times the usual Hall conductivity for an noninteracting mixing system.
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