Charged spin textures over the Moore-Read quantum Hall state. (English) Zbl 1448.81504
Summary: We study charged spin textures (CSTs) over the Moore-Read quantum Hall state at filling factor 5/2. We develop an algebraic framework and show that the pairing condition that is inherent in the Moore-Read state naturally leads to a class of CST, labeled by winding numbers \([w_I,w_{II}]\). The fundamental CSTs, with labels [1, 0] and electric charge \(e/4\), is identified with the polar core vortex known in the spin-1 Bose-Einstein condensates literature. The spin texture carried by the fusion product of fundamental CSTs is correlated with the fusion channel of underlying non-abelian quasiholes.
MSC:
| 81V70 | Many-body theory; quantum Hall effect |
| 81V73 | Bosonic systems in quantum theory |
| 82D50 | Statistical mechanics of superfluids |
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