Quantum hall effect of two-dimensional interacting boson systems |
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| Affiliation: | 1. Culham Centre for Fusion Energy, UK Atomic Energy Authority, Culham Science Centre, Abingdon, Oxfordshire, OX14 3DB, United Kingdom;2. Department of Physics and Materials Sciences, The City University of Hong Kong, Hong Kong Special Administrative Region;1. Department of Physics and Astronomy, State University of New York at Stony Brook, Stony Brook, NY 11794-3800, USA;2. C. N. Yang Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, NY 11794-3840, USA;3. Institute for Advanced Computational Science, State University of New York at Stony Brook, Stony Brook, NY 11794-5250, USA |
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| Abstract: | While non-interacting two-dimensional (2-D) boson systems cannot have the quantum Hall effect (QHE), we show that 2-D interacting boson systems can have the QHE if there is a downward cusp in the ground state energy. A necessary condition to have the QHE at filling factor v = p/q with σH = (p/q)e2/h is that p and q must satisfy eipqπ= 1, so the possible candidates are v = 2n1/(2n2 + 1) and (2n1 + 1)/2n2 where n1 and n2 are integers. |
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