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Quantum Simulation
Study of the triangular-lattice Hubbard model with constrained-path quantum Monte Carlo
arXiv
Authors: Shu Fay Ung, Ankit Mahajan, David R. Reichman
Year
2026
Paper ID
30789
Status
Preprint
Abstract Read
~2 min
Abstract Words
116
Citations
N/A
Abstract
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 are essential for quantitative accuracy. Away from half-filling, simple free-electron-based trials that preserve the ground state symmetry yield energy deviations lesssim 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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- 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...
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