Accelerating the convergence of auxiliary-field quantum Monte Carlo in solids with optimized Gaussian basis sets

The Journal of Chemical Physics
Miguel A Morales, Fionn D Malone

Abstract

We investigate the use of optimized correlation-consistent Gaussian basis sets for the study of insulating solids with auxiliary-field quantum Monte Carlo (AFQMC). The exponents of the basis set are optimized through the minimization of the second-order Møller-Plesset perturbation theory (MP2) energy in a small unit cell of the solid. We compare against other alternative basis sets proposed in the literature, namely, calculations in the Kohn-Sham basis and in the natural orbitals of an MP2 calculation. We find that our optimized basis sets accelerate the convergence of the AFQMC correlation energy compared to a Kohn-Sham basis and offer similar convergence to MP2 natural orbitals at a fraction of the cost needed to generate them. We also suggest the use of an improved, method independent, MP2-based basis set correction that significantly reduces the required basis set sizes needed to converge the correlation energy. With these developments, we study the relative performance of these basis sets in LiH, Si, and MgO and determine that our optimized basis sets yield the most consistent results as a function of volume. Using these optimized basis sets, we systematically converge the AFQMC calculations to the complete basis set and t...Continue Reading

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Citations

Jul 10, 2021·The Journal of Chemical Physics·Miguel A Morales-SilvaLucas K Wagner
Jul 10, 2021·The Journal of Chemical Physics·Andreas IrmlerAndreas Grüneis
Aug 28, 2021·Journal of Chemical Theory and Computation·Yanbing ZhouDominika Zgid

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