Electron-hole duality and vortex rings in quantum dots
arXiv:cond-mat/0410622 · doi:10.1103/PhysRevLett.94.106405
Abstract
In a quantum-mechanical system, particle-hole duality implies that instead of studying particles, we can get equivalent information by studying the missing particles, the so-called holes. Using this duality picture for rotating fermion condensates the vortices appear as holes in the Fermi see. Here we predict that the formation of vortices in quantum dots at high magnetic fields causes oscillations in the energy spectrum which can be experimentally observed using accurate tunnelling spectroscopy. We use the duality picture to show that these oscillations are caused by the localisation of vortices in rings.
8 pages 3 figures
References in corpus (5)
- Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
- Quantum rings for beginners: Energy spectra and persistent currents
- The Vortex State in a Strongly Coupled Dilute Atomic Fermionic Superfluid
- Vortex Clusters in Quantum Dots
- Universal vortex formation in rotating traps with bosons and fermions
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