Fractional periodicity and magnetism of extended quantum rings
arXiv:0802.1108 · doi:10.1103/PhysRevB.77.155103
Abstract
The magnetic properties and nature of the persistent current in small flux-penetrated rings are investigated. An effective rigid-rotator description is formulated for this system, which coincides with a transition to a ferromagnetic state in the model. The criteria for the onset of effective rigid rotation is given. The model is used to understand continuum model ground-state solutions for a 2D few-particle hard-wall quantum dot, where ferromagnetic solutions are found even without the Zeeman coupling to spin. After the onset of effective rigid rotation, a 97--98% correspondence can be determined between the lattice model and continuum model eigenstate results.
References in corpus (15)
- Spectroscopy of nanoscopic semiconductor rings
- Quantum rings for beginners: Energy spectra and persistent currents
- Quantum Dots in Strong Magnetic Fields: Stability Criteria for the Maximum Density Droplet
- Kondo effect in a few-electron quantum ring
- Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping
- Rotational and vibrational spectra of quantum rings
- Strong-Correlations Versus U-Center Pairing and Fractional Aharonov-Bohm Effect
- Enhancement of persistent current in mesoscopic rings $&$ cylinders : shortest $&$ next possible shortest higher order hopping
- Rectangular quantum dots in high magnetic fields
- Fine Structure and Fractional Aharonov-Bohm Effect
- Ground-state of two-dimensional finite electron systems in the Quantum Hall regime
- Various spin-polarization states beyond the maximum-density droplet: a quantum Monte Carlo study
- Interacting electrons on a quantum ring: exact and variational approach
- Spectral properties of rotating electrons in quantum dots and their relation to quantum Hall liquids
- Giant vortices in rotating electron droplets