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We benchmark constrained-path Monte Carlo (CPMC) on the triangular-lattice Hubbard model for several fillings and U values and show that symmetry-adapted trial wave functions substantially improve quantitative accuracy. Away from half-filling, simple free-electron-based trials that preserve the ground state symmetry yield energy deviations 1% from exact diagonalization and density matrix renormalization group results. At half-filling, strong frustration in the intermediate to large U regimes necessitates symmetry-projected trials to reach comparable accuracy, where both free-electron and symmetry-broken Hartree-Fock trials incur substantial constraint bias. Since the computational cost of CPMC with symmetry projection scales polynomially with system size, our results motivate its use as a practical route for studying competing ground states in strongly correlated, frustrated systems.
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Ung et al. (2026) studied this question.
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