WV-HMC successfully simulates the doped 2D Hubbard model on 8x8 lattices at U/t=8 and T/t≈0.156 with controlled statistical errors.
A Constrained Path Quantum Monte Carlo Method for Fermion Ground States
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abstract
We propose a new quantum Monte Carlo algorithm to compute fermion ground-state properties. The ground state is projected from an initial wavefunction by a branching random walk in an over-complete basis space of Slater determinants. By constraining the determinants according to a trial wavefunction $|\Psi_T \rangle$, we remove the exponential decay of signal-to-noise ratio characteristic of the sign problem. The method is variational and is exact if $|\Psi_T\rangle$ is exact. We report results on the two-dimensional Hubbard model up to size $16\times 16$, for various electron fillings and interaction strengths.
representative citing papers
WV-HMC computes number and energy densities for the doped 2D Hubbard model on 6x6 and 8x8 lattices at U/t=8 and T/t≈0.156, showing effectiveness where standard DQMC fails.
citing papers explorer
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Analyzing the two-dimensional doped Hubbard model with the Worldvolume HMC method
WV-HMC successfully simulates the doped 2D Hubbard model on 8x8 lattices at U/t=8 and T/t≈0.156 with controlled statistical errors.
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Applying the Worldvolume Hybrid Monte Carlo method to the Hubbard model away from half filling
WV-HMC computes number and energy densities for the doped 2D Hubbard model on 6x6 and 8x8 lattices at U/t=8 and T/t≈0.156, showing effectiveness where standard DQMC fails.