An exact solution for a Tan-Inkson quantum ring on a sphere gives closed-form energy eigenvalues and derived persistent currents, with curvature corrections that vanish in the flat-space limit.
Edge States for quantum Hall droplets in higher dimensions and a generalized WZW model
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abstract
We consider quantum Hall droplets on complex projective spaces with a combination of abelian and nonabelian background magnetic fields. Carrying out an analysis similar to what was done for abelian backgrounds, we show that the effective action for the edge excitations is given by a chiral, gauged Wess-Zumino-Witten (WZW) theory generalized to higher dimensions.
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A Quantum Ring in a Nanosphere
An exact solution for a Tan-Inkson quantum ring on a sphere gives closed-form energy eigenvalues and derived persistent currents, with curvature corrections that vanish in the flat-space limit.