2012/07/20 by James S. M. Anderson, Maho Nakata, Anderson, James S. M. +7 · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Condensed Matter Physics #Chemistry #Combinatorics #Computer science #Coupled cluster #Dimension (graph theory) #FOS: Physical sciences #Function (biology) #Ground state #Hubbard model #Mathematics #Matrix (chemical analysis) #Molecule #Order (exchange) #Physics #Physics of Superconductivity and Magnetism #Prime (order theory) #Quantum mechanics #RDM #Statistical physics #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity #Wave function #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.1207.4847
published in arXiv (Cornell University) (Cornell University)
arxiv created 2012/07/20 · openalex publication_date 2012/07/20 · arxiv updated 2012/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
The second-order reduced density matrix method (the RDM method) has performed well in determining energies and properties of atomic and molecular systems, achieving coupled-cluster singles and doubles with perturbative triples (CC SD(T)) accuracy without using the wave-function. One question that arises is how well does the RDM method perform with the same conditions that result in CCSD(T) accuracy in the strong correlation limit. The simplest and a theoretically important model for strongly correlated electronic systems is the Hubbard model. In this paper, we establish the utility of the RDM method when employing the P, Q, G, T1 and T2^′ conditions in the two-dimension al Hubbard model case and we conduct a thorough study applying the 4× 4 Hubbard model employing a coefficients. Within the Hubbard Hamilt onian we found that even in the intermediate setting, where U/t is between 4 and 10, the P, Q, G, T1 and T2^′ conditions re produced good ground state energies.