2003/04/16 by A. L. Malvezzi
Physics and Astronomy · #cond-mat.str-el #cond-mat.stat-mech
published as Braz. J. Phys. 33 (2003) 55-72 · 36 pages, 4 figures, standard LaTex, Brazilian School on Statistical Mechanics (2002), PDF and PS files available at http://www.sbf.if.usp.br/bjp
arxiv created 2003/04/16 · arxiv updated 2009/11/30
This is an introductory course to the Lanczos Method and Density Matrix Renormalization Group Algorithms(DMRG), two among the leading numerical techniques applied in studies of low-dimensional quantum models. The idea of studying the models on clusters of a finite size in order to extract their physical properties is briefly discussed. The important role played by the model symmetries is also examined. Special emphasis is given to the DMRG.