Exact Ground State of Strongly Correlated Electron Systems from Symmetry-Entangled Wave-Functions

Abstract

The four-site Hubbard model is considered from the exact diagonalisation and variational method points of view. It is shown that the exact ground-state can be recovered by a symmetry projected Slater determinant, irrespective of the interaction strength. This is in contrast to the Gutzwiller wave-function, which is calculated as well.

10 pages, 4 figures

References in corpus (4)

• Continuous-time Monte Carlo methods for quantum impurity models
• Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization
• Crossover between BCS Superconductor and Doped Mott Insulator of d-wave Pairing State in Two-Dimensional Hubbard Model
• Interplay between incommensurate phases in the cuprates

Cited by in corpus (4)

• Symmetry restoration in mean-field approaches
• Intertwined orders from symmetry projected wavefunctions of repulsively interacting Fermi gases in optical lattices
• Ground State Properties Of The One-Dimensional Hubbard Model: Symmetry Projected Variational Wave Function Approach
• Many-body perturbation theory for strongly correlated effective Hamiltonians using effective field theory methods