The Fractional Statistics of Generalized Haldane Wave Function in 4D Quantum Hall Effect |
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| Authors: | XU Fei WANG Ke-Lin WAN Shao-Long CHEN Qing |
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| Affiliation: | Center for Nonlinear Science, University of Science and Technology of China, Hefei 230026, China Center for Nonlinear Science, University of Science and Technology of China, Hefei 230026, China;Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026, China Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026, China Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | Recently, a generalization of Laughlin's wave function expressed in Haldane's spherical geometry is con-structed in 4D quantum Hall effect. In fact, it is a membrane wave function in CP3 space. In this article, we usenon-Abelian Berry phase to analyze the statistics of this membrane wave function. Our results show that the membranewave function obeys fractional statistics. It is the rare example to realize fractional statistics in higher-dimensional spacethan 2D. And, it will help to make clear the unresolved problems in 4D quantum Hall effect. |
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| Keywords: | 4D quantum Hall effect fractional statistics non-Abelian Berry phase |
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