Symmetry-projected variational approach for ground and excited states of the two-dimensional Hubbard model

Abstract

We present a symmetry-projected configuration mixing scheme to describe ground and excited states, with well defined quantum numbers, of the two-dimensional Hubbard model with nearestneighbor hopping and periodic boundary conditions. Results for the half-filled 2{\times}4, 4{\times}4, and 6{\times}6 lattices, as well as doped 4 {\times} 4 systems, compare well with available results, both exact and from other state-of-the-art approximations. We report spectral functions and density of states obtained from a well-controlled ansatz for the (Ne {\pm} 1)-electron system. Symmetry projected methods have been widely used for the many-body nuclear physics problem but have received little attention in the solid state community. Given their relatively low (mean-field) computational cost and the high quality of results here reported, we believe that they deserve further scrutiny.

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• Effective density functionals beyond mean field
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• Multi-reference symmetry-projected variational approximation for the ground state of the doped one-dimensional Hubbard model
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• Description of collective and quasiparticle excitations in deformed actinide nuclei: The first application of the Heavy Shell Model
• Linear combinations of cluster mean-field states applied to spin systems
• Exact Ground State of Strongly Correlated Electron Systems from Symmetry-Entangled Wave-Functions
• Study of the triangular-lattice Hubbard model with constrained-path quantum Monte Carlo