Vortex Clusters in Quantum Dots

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.93.116802

We study electronic structures of two-dimensional quantum dots in strong magnetic fields using mean-field density-functional theory and exact diagonalization. Our numerically accurate mean-field solutions show a reconstruction of the uniform-density electron droplet when the magnetic field flux quanta enter one by one the dot in stronger fields. These quanta correspond to repelling vortices forming polygonal clusters inside the dot. We find similar structures in the exact treatment of the problem using a new type of operator for the analysis. We discuss important differences and limitations of the methods used.

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