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• W2006209469 abstract "We obtain several clustering properties of the Jain states at filling $frac{k}{2k+1}$: they are a product of a Vandermonde determinant and a bosonic polynomial at filling $frac{k}{k+1}$ which vanishes when $k+1$ particles cluster together. We show that all Jain states satisfy a ``squeezing rule'' which severely reduces the dimension of the Hilbert space necessary to generate them. We compute the topological entanglement spectrum of the Jain $ensuremath{nu}=frac{2}{5}$ state and compare it to both the Coulomb ground state and the nonunitary Gaffnian state. All three states have a very similar ``low-energy'' structure. However, the Jain state entanglement ``edge'' state counting matches both the Coulomb counting as well as two decoupled $U(1)$ free bosons, whereas the Gaffnian edge counting misses some of the edge states of the Coulomb spectrum." @default.
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• W2006209469 date "2009-06-29" @default.
• W2006209469 modified "2023-09-24" @default.
• W2006209469 title "Topological Entanglement and Clustering of Jain Hierarchy States" @default.
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• W2006209469 doi "https://doi.org/10.1103/physrevlett.103.016801" @default.
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