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Ab initio computations of molecular systems by the auxiliary-field quantum Monte Carlo method

Motta, Mario and Zhang, Shiwei (2018) Ab initio computations of molecular systems by the auxiliary-field quantum Monte Carlo method. Wiley Interdisciplinary Reviews: Computational Molecular Science, 8 (5). Art. No. e1364. ISSN 1759-0876. http://resolver.caltech.edu/CaltechAUTHORS:20180906-073034748

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Abstract

The auxiliary‐field quantum Monte Carlo (AFQMC) method provides a computational framework for solving the time‐independent Schrödinger equation in atoms, molecules, solids, and a variety of model systems. AFQMC has recently witnessed remarkable growth, especially as a tool for electronic structure computations in real materials. The method has demonstrated excellent accuracy across a variety of correlated electron systems. Taking the form of stochastic evolution in a manifold of nonorthogonal Slater determinants, the method resembles an ensemble of density‐functional theory (DFT) calculations in the presence of fluctuating external potentials. Its computational cost scales as a low‐power of system size, similar to the corresponding independent‐electron calculations. Highly efficient and intrinsically parallel, AFQMC is able to take full advantage of contemporary high‐performance computing platforms and numerical libraries. In this review, we provide a self‐contained introduction to the exact and constrained variants of AFQMC, with emphasis on its applications to the electronic structure of molecular systems. Representative results are presented, and theoretical foundations and implementation details of the method are discussed.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1002/wcms.1364DOIArticle
ORCID:
AuthorORCID
Motta, Mario0000-0003-1647-9864
Additional Information:© 2018 Wiley Periodicals, Inc. Issue Online: 10 August 2018; Version of Record online: 25 May 2018; Manuscript accepted: 19 March 2018; Manuscript revised: 26 February 2018; Manuscript received: 30 October 2017.
Subject Keywords:ab initio methods; auxiliary‐field quantum Monte Carlo; back‐propagation; computational quantum chemistry; constrained path approximation; electronic structure; importance sampling; phase problem; phaseless approximation; quantum many‐body computation; quantum Monte Carlo methods; sign problem
Record Number:CaltechAUTHORS:20180906-073034748
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180906-073034748
Official Citation:Motta M, Zhang S. Ab initio computations of molecular systems by the auxiliary‐field quantum Monte Carlo method. WIREs Comput Mol Sci. 2018;8:e1364. https://doi.org/10.1002/wcms.1364
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89407
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 Sep 2018 16:34
Last Modified:06 Sep 2018 16:34

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