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Pfaffian and fragmented states at nu=5/2 in quantum Hall droplets | | H. Saarikoski
; E. Tolo
; A. Harju
; E. Rasanen
; | | Date: |
5 Sep 2008 | | Abstract: | When a gas of electrons is confined to two dimensions, application of a
strong magnetic field may lead to startling phenomena such as emergence of
electron pairing, which manifests itself as appearance of the fractional
quantum Hall effect with a quantized conductivity at an unusual half-integer
nu=5/2 Landau level filling. Here we show that similar electron pairing may
occur in quantum dots where the gas of electrons is trapped by external
electric potentials into small quantum Hall droplets. However, we also find
theoretical and experimental evidence that, depending on the shape of the
external potential, the paired electron state can break down, which leads to a
fragmentation of charge and spin densities into incompressible domains. The
fragmentation of the quantum Hall states could be an issue in the proposed
experiments that aim to probe for non-abelian quasi-particle characteristics of
the nu=5/2 quantum Hall state. | | Source: | arXiv, 0809.1020 | | Services: | Forum | Review | PDF | Favorites | |
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