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Efficiency of the ab initio hybrid Monte Carlo and ab initio path integral hybrid Monte Carlo methods is enhanced by employing an auxiliary potential energy surface that is used to update the system configuration via molecular dynamics scheme. As a simple illustration of this method, a dual-level approach is introduced where potential energy gradients are evaluated by computationally less expensive ab initio electronic structure methods

Speed-up of Ab Initio Hybrid Monte Carlo and Ab Initio Path Integral Hybrid Monte Carlo Simulations by Using an Auxiliary Potential Energy Surface