Jastrow-correlated wave functions for flat-band lattices

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Date

2011-06-20

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American Physical Society

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.

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Keywords

Physics, Condensed Matter, Physics, QUANTUM, CARBON, EXCITATIONS, SYMMETRIES, CYLINDERS, ELECTRONS, FERMIONS, STATES

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