Quantization of Hall Conductance and Stabilization of Flux State in Noncommutative Space(Condensed Matter Physics)
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概要
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We studied the quantization of Hall conductance and generalized Peierls instability in two-dimensional noncommutative space under a constant magnetic field. We show that the Hall conductance is quantized and the quantization is stable against a change of the noncommutative parameter θ. For a rational magnetic flux φ=p/q and a rational θ=r/s, the flux state is stabilized at a filling ν=p(4qs-pr)/4q^2s. The condition is different from that of commutative space. If we regard θ as a dynamical parameter, we propose a mechanism for how the model determine the value of θ.
- 2011-11-25
著者
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Yamanaka Masanori
Department Of Applied Physics Science University Of Tokyo
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Yamanaka Masanori
Department Of Physics College Of Science And Technology Nihon University
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MIYAZAWA Yukihiro
Department of Physics, College of Science and Technology, Nihon University
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Miyazawa Yukihiro
Department Of Physics College Of Science And Technology Nihon University
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