1999/10/06 by Karen Hallberg, K. Hallberg, Hallberg, Karen
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Condensed Matter (cond-mat) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear Theory (nucl-th) #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat #math-ph #math.MP #nucl-th
paper · pdf · doi:10.48550/arxiv.cond-mat/9910082
revised version, updated and new references. CRM Proceedings (1999), Springer, Montreal (in press)
openalex publication_date 1999/10/06 · arxiv created 1999/10/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise calculation of static, dynamic and thermodynamic properties. Its field of applicability has now extended beyond Condensed Matter, and is successfully used in Statistical Mechanics and High Energy Physics as well. In this article, we briefly review the main aspects of the method. We also comment on some of the most relevant applications so as to give an overview on the scope and possibilities of DMRG and mention the most important extensions of the method such as the calculation of dynamical properties, the application to classical systems, inclusion of temperature, phonons and disorder and a recent modification for the \it ab initio calculation of electronic states in molecules.