Study of the triangular-lattice Hubbard model with constrained-path quantum Monte Carlo

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Authors: Shu Fay Ung, Ankit Mahajan, David R. Reichman
Cited by: 1
References: 83

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 substantially improve 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.

Fields of Study & Subjects

Quantum many-body systems Physics of Superconductivity and Magnetism Algebraic structures and combinatorial models

Publication details

Journal / source
Physical review. B./Physical review. B
Publisher
American Physical Society (APS)
Volume
114
Issue
6
Publication date
23 June 2026
Language
EN