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Ground-State Properties of the Hydrogen Chain: Dimerization, Insulator-to-Metal Transition, and Magnetic Phases

Motta, Mario and Genovese, Claudio and Ma, Fengjie and Cui, Zhi-Hao and Sawaya, Randy and Chan, Garnet Kin-Lic and Chepiga, Natalia and Helms, Phillip and Jiménez-Hoyos, Carlos A. and Millis, Andrew J. and Ray, Ushnish and Ronca, Enrico and Shi, Hao and Sorella, Sandro and Stoudenmire, Edwin M. and White, Steven R. and Zhang, Shiwei (2020) Ground-State Properties of the Hydrogen Chain: Dimerization, Insulator-to-Metal Transition, and Magnetic Phases. Physical Review X, 10 (3). Art. No. 031058. ISSN 2160-3308. https://resolver.caltech.edu/CaltechAUTHORS:20200914-111807267

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Abstract

Accurate and predictive computations of the quantum-mechanical behavior of many interacting electrons in realistic atomic environments are critical for the theoretical design of materials with desired properties, and they require solving the grand-challenge problem of the many-electron Schrödinger equation. An infinite chain of equispaced hydrogen atoms is perhaps the simplest realistic model for a bulk material, embodying several central themes of modern condensed-matter physics and chemistry while retaining a connection to the paradigmatic Hubbard model. Here, we report a combined application of cutting-edge computational methods to determine the properties of the hydrogen chain in its quantum-mechanical ground state. Varying the separation between the nuclei leads to a rich phase diagram, including a Mott phase with quasi-long-range antiferromagnetic order, electron density dimerization with power-law correlations, an insulator-to-metal transition, and an intricate set of intertwined magnetic orders.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevx.10.031058DOIArticle
https://journals.aps.org/prx/supplemental/10.1103/PhysRevX.10.031058/si.pdfPublisherSupporting Information
https://arxiv.org/abs/1911.01618arXivDiscussion Paper
https://link.aps.org/doi/10.1103/Physics.13.142Featured InPhysics: Viewpoint
ORCID:
AuthorORCID
Motta, Mario0000-0003-1647-9864
Cui, Zhi-Hao0000-0002-7389-4063
Chan, Garnet Kin-Lic0000-0001-8009-6038
Helms, Phillip0000-0002-6064-3193
Jiménez-Hoyos, Carlos A.0000-0003-1170-1163
Ray, Ushnish0000-0002-1850-4691
Ronca, Enrico0000-0003-0494-5506
Stoudenmire, Edwin M.0000-0003-3389-9692
White, Steven R.0000-0002-0831-9097
Additional Information:© 2020 The author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. (Received 17 March 2020; revised 14 June 2020; accepted 13 July 2020; published 14 September 2020) We thank T. Giamarchi, N. Marzari, A. Rubio, and M. van Schilfgaarde for helpful discussions. This work was supported by the Simons Foundation as part of the Simons Collaboration on the Many-Electron Problem. The Flatiron Institute is a division of the Simons Foundation. Computations were carried out on facilities supported by the Scientific Computing Core at the Flatiron Institute (M. M. and H. S.) and by the U.S. Department of Energy, National Energy Research Scientific Computing Center (Z. H. C., P. H., M. M., and U. R.), on the Pauling cluster at the California Institute of Technology (Z. H. C., P. H., M. M., and U. R.), and on the Storm and SciClone Clusters at the College of William and Mary (F. M. and M. M.). M. M. acknowledges the IBM Research Cognitive Computing Cluster service for providing resources that have contributed to the research results reported within this paper. G. K. C. acknowledges support from the National Science Foundation under Grant No. OAC 1931258. F. M. acknowledges support from the National Natural Science Foundation of China under Grant No. 11674027. S. S. and C. G. acknowledge support from PRIN 2017BZPKSZ and computational resources from CINECA PRACE 2019204934. S. W., E. M. S., R. S., and N. C. acknowledge support from DOE under Grant No. DE-SC0008696 and the Swiss National Science Foundation. M. M., C. G., F. M., Z.-H. C., and R. S. contributed equally to this work.
Funders:
Funding AgencyGrant Number
Flatiron InstituteUNSPECIFIED
Simons FoundationUNSPECIFIED
NSFOAC-1931258
National Natural Science Foundation of China11674027
Ministero dell'Istruzione, dell'Università e della Ricerca (MIUR)2017BZPKSZ
Partnership for Advanced Computing in Europe (PRACE)2019204934
Department of Energy (DOE)DE-SC0008696
Swiss National Science Foundation (SNSF)UNSPECIFIED
Issue or Number:3
Record Number:CaltechAUTHORS:20200914-111807267
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200914-111807267
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105371
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:14 Sep 2020 20:03
Last Modified:14 Sep 2020 20:03

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