Quantum effects in one-dimensional optical flat-band lattices
I numerically simulated one-dimensional lattice systems describable by the Hubbard-model and containing a flat-band. I studied the manner in which particles initially held in place by a parabolic confinement potential are dispersed across the lattice after the potential is removed. I also studied...
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| Muut tekijät: | , , , , , |
| Aineistotyyppi: | Pro gradu |
| Kieli: | eng |
| Julkaistu: |
2011
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| Linkit: | https://jyx.jyu.fi/handle/123456789/36983 |
| Yhteenveto: | I numerically simulated one-dimensional lattice systems describable by the
Hubbard-model and containing a flat-band. I studied the manner in which
particles initially held in place by a parabolic confinement potential are dispersed across the lattice after the potential is removed. I also studied currents flowing within one-dimensional Hubbard-rings. In both of these cases I observed that the flat dispersion relation of the flat-band manifests itself as the immobility of the particles occupying it. Particles occupying flat-band states
do not disperse even after the removal of any external confinement, neither
do they contribute to a current within a ring.
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