Jastrow-Correlated Wavefunctions for Flat-Band Lattices

Details Jastrow-Correlated Wavefunctions for Flat-Band Lattices Jastrow-Correlated Wavefunctions for Flat-Band Lattices

2010-09-21

arxiv.org/abs/1009.4194v2

Phys. Rev. B 83, 245109 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 4 figures, update context, references and publication information

Scientific paper

10.1103/PhysRevB.83.245109

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.

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