Virginia TechWang, H.Scarola, Vito W.2014-02-112014-02-112011-06-20Wang, Hao ; Scarola, V. W., Jun 20, 2011. "Jastrow-correlated wave functions for flat-band lattices," PHYSICAL REVIEW B 83(24): 245109. DOI: 10.1103/PhysRevB.83.2451091098-0121http://hdl.handle.net/10919/25386The electronic band structure of many compounds, e.g., carbon-based structures, can exhibit essentially no dispersion. Models of electrons in flat-band lattices define nonperturbative 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.en-USIn CopyrightquantumcarbonexcitationssymmetriescylinderselectronsfermionsstatesPhysicsArticle - Refereedhttp://link.aps.org/doi/10.1103/PhysRevB.83.245109https://doi.org/10.1103/PhysRevB.83.245109