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Halperin states can produce any filling fractions

We study bilayer Fractional Quantum Hall State also known as Halperin state. We prove that for any filling fractions (positive rational numbers), there are infinite solutions that imply that infinite topological states are corresponding to any given filling fraction. Our results can apply to any charge vectors.

preprint2020arXivOpen access
En-Jui Kuo
cond-mat.mes-hallmath-phmath.MP
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En-Jui Kuo

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