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Reference electronic structure calculations in one dimension

2012/01/01 by Lucas O. Wagner, E. M. Stoudenmire, E. Miles Stoudenmire +2
Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #cond-mat.mtrl-sci #physics.chem-ph

paper · pdf · doi:10.1039/c2cp24118h

published as Phys. Chem. Chem. Phys. 14, 7559-7561 (2012) · 12 pages, 9 figures

openalex publication_date 2012/01/01 · arxiv created 2012/05/07 · arxiv updated 2012/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Large strongly correlated systems provide a challenge to modern electronic structure methods, because standard density functionals usually fail and traditional quantum chemical approaches are too demanding. The density-matrix renormalization group method, an extremely powerful tool for solving such systems, has recently been extended to handle long-range interactions on real-space grids, but is most efficient in one dimension where it can provide essentially arbitrary accuracy. Such 1d systems therefore provide a theoretical laboratory for studying strong correlation and developing density functional approximations to handle strong correlation, if they mimic three-dimensional reality sufficiently closely. We demonstrate that this is the case, and provide reference data for exact and standard approximate methods, for future use in this area.

Citations