Jastrow-Correlated Wavefunctions for Flat-Band Lattices
arXiv:1009.4194 · doi:10.1103/PhysRevB.83.245109
Abstract
The electronic band structure of many compounds, e.g., carbon-based structures, can exhibit essentially no dispersion. Models of electrons in flat-band lattices define non-perturbative strongly correlated problems by default. We construct a set of Jastrow-correlated ansatz wavefunctions to capture the low energy physics of interacting particles in flat bands. We test the ansatz in a simple Coulomb model of spinless electrons in a honeycomb ribbon. We find that the wavefunction accurately captures the ground state in a transition from a crystal to a uniform quantum liquid.
5 pages, 4 figures, update context, references and publication information
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- Repulsive Interactions in Quantum Hall Systems as a Pairing Problem
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