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Efficient method for grand-canonical twist averaging in quantum Monte Carlo calculations

Azadi, S; Foulkes, WMC; (2019) Efficient method for grand-canonical twist averaging in quantum Monte Carlo calculations. Physical Review B , 100 (24) , Article 245142. 10.1103/PhysRevB.100.245142. Green open access

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Abstract

We introduce a simple but efficient method for grand-canonical twist averaging in quantum Monte Carlo calculations. By evaluating the thermodynamic grand potential instead of the ground-state total energy, we greatly reduce the sampling errors caused by twist-dependent fluctuations in the particle number. We apply this method to the electron gas and to metallic lithium, aluminum, and solid atomic hydrogen. We show that, even when using a small number of twists, grand-canonical twist averaging of the grand potential produces better estimates of ground-state energies than the widely used canonical twist-averaging approach.

Type: Article
Title: Efficient method for grand-canonical twist averaging in quantum Monte Carlo calculations
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevB.100.245142
Publisher version: https://doi.org/10.1103/PhysRevB.100.245142
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: https://discovery.ucl.ac.uk/id/eprint/10089217
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