Hard-Wall Confinement of a Fractional Quantum Hall Liquid

Elia Macaluso; Iacopo Carusotto

doi:10.1103/physreva.96.043607

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arXiv · 1706.00353

Hard-Wall Confinement of a Fractional Quantum Hall Liquid

Elia Macaluso·Iacopo Carusotto

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Abstract

We make use of numerical exact diagonalization calculations to explore the physics of $ν= 1/2$ bosonic fractional quantum Hall (FQH) droplets in the presence of experimentally realistic cylindrically symmetric hard-wall potentials. This kind of confinement is found to produce very different many-body spectra compared to a harmonic trap or the so-called extremely steep limit. For a relatively weak confinement, the degeneracies are lifted and the low-lying excited states organize themselves in energy branches that can be explained in terms of their Jack polynomial representation. For a strong confinement, a strong spatial deformation of the droplet is found, with an unexpected depletion of its central density.

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Elia Macaluso, Iacopo Carusotto. 2017-09-22. Hard-Wall Confinement of a Fractional Quantum Hall Liquid. https://doi.org/10.1103/physreva.96.043607

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