Noncommutative Quantum Hall Effect of Bilayer Systems |
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| Authors: | Mutallip Tohti Sayipjamal Dulat LI Kang |
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| Institution: | 1.School of Physics Science and Technology, Xinjiang University, Urumqi 830046, China
;2.Department of Physics, Hangzhou Normal University, Hangzhou 310036, China |
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| Abstract: | In this paper we study the bilayer quantum Hall (QH) effect on a noncommutative phase space (NCPS). By using perturbation theory, we calculate the energy spectrum, eigenfunction, Hall current, and Hall conductivity of the bilayer QH system, and express them in terms of noncommutative parameters θ and \bar{θ}, respectively. In our calculation, we assume that these parameters vary from layer to layer. |
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| Keywords: | quantum Hall effect noncommutative quantum mechanics bilayer systems |
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