We introduce a method that combines the power of both the lattice Green' function Monte Carlo (LGFMC) with the auxiliary field quantum Monte Carlo (AFQMC) techniques, and allows us to compute exact ground-state properties of the Hubbard model for U≲4t on finite clusters. Thanks to LGFMC, one obtains unbiased zero temperature results, not affected by the so-called Trotter approximation of the imaginary time propagator e−Hτ. At the same time, the AFQMC formalism yields a remarkably fast convergence in τ before the fermion sign problem becomes prohibitive. As an application we report ground-state energies of the Hubbard model at U/t=4 with up to 100 sites.

Linearized auxiliary fields Monte Carlo technique: Efficient sampling of the fermion sign / Sorella, Sandro. - In: PHYSICAL REVIEW. B, RAPID COMMUNICATIONS. - ISSN 1089-4896. - 84:24(2011), pp. 1-4. [10.1103/PhysRevB.84.241110]

Linearized auxiliary fields Monte Carlo technique: Efficient sampling of the fermion sign

Sorella, Sandro
2011-01-01

Abstract

We introduce a method that combines the power of both the lattice Green' function Monte Carlo (LGFMC) with the auxiliary field quantum Monte Carlo (AFQMC) techniques, and allows us to compute exact ground-state properties of the Hubbard model for U≲4t on finite clusters. Thanks to LGFMC, one obtains unbiased zero temperature results, not affected by the so-called Trotter approximation of the imaginary time propagator e−Hτ. At the same time, the AFQMC formalism yields a remarkably fast convergence in τ before the fermion sign problem becomes prohibitive. As an application we report ground-state energies of the Hubbard model at U/t=4 with up to 100 sites.
2011
84
24
1
4
241110
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.84.241110
Sorella, Sandro
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13847
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