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The density matrix renormalization group for strongly correlated electron systems: A generic implementation

2009/02/18 by Gonzalo Álvarez, G. Alvarez
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Condensed Matter Physics #Computer science #Density matrix renormalization group #Geometry #Hamiltonian (control theory) #Homogeneous space #Materials science #Mathematical physics #Mathematics #Matrix (chemical analysis) #Physics #Physics of Superconductivity and Magnetism #Renormalization #Renormalization group #Symmetry (geometry) #cond-mat.str-el

paper · pdf · doi:10.1016/j.cpc.2009.02.016

published as Computer Physics Communications 180 (2009) 1572-1578 · 2 figures, submitted to Computer Physics Communications

arxiv created 2009/02/18 · openalex publication_date 2009/02/27 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The purpose of this paper is (i) to present a generic and fully functional implementation of the density-matrix renormalization group (DMRG) algorithm, and (ii) to describe how to write additional strongly-correlated electron models and geometries by using templated classes. Besides considering general models and geometries, the code implements Hamiltonian symmetries in a generic way and parallelization over symmetry-related matrix blocks.

Citations