Motta, MarioCeperley, David M.Chan, Garnet Kin-LicGomez, John A.Gull, EmanuelGuo, ShengJiménez-Hoyos, Carlos A.Lan, Tran NguyenLi, JiaMa, FengjieMillis, Andrew J.Prokof’ev, Nikolay V.Ray, UshnishScuseria, Gustavo E.Sorella, SandroStoudenmire, Edwin M.Sun, QimingTupitsyn, Igor S.White, Steven R.Zgid, DominikaZhang, Shiwei2017-10-192017-10-192017Motta, Mario, Ceperley, David M., Chan, Garnet Kin-Lic, et al.. "Towards the Solution of the Many-Electron Problem in Real Materials: Equation of State of the Hydrogen Chain with State-of-the-Art Many-Body Methods." <i>Physical Review X,</i> 7, no. 3 (2017) American Physical Society: https://doi.org/10.1103/PhysRevX.7.031059.https://hdl.handle.net/1911/97803We present numerical results for the equation of state of an infinite chain of hydrogen atoms. A variety of modern many-body methods are employed, with exhaustive cross-checks and validation. Approaches for reaching the continuous space limit and the thermodynamic limit are investigated, proposed, and tested. The detailed comparisons provide a benchmark for assessing the current state of the art in many-body computation, and for the development of new methods. The ground-state energy per atom in the linear chain is accurately determined versus bond length, with a confidence bound given on all uncertainties.engPublished 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.Journal articleTowards_Solution_Many-Electron_Problemhttps://doi.org/10.1103/PhysRevX.7.031059