An introduction to numerical methods in low-dimensional quantum systems

Details An introduction to numerical methods in low-dimensional quantum systems An introduction to numerical methods in low-dimensional quantum systems

2003-04-16

arxiv.org/abs/cond-mat/0304375v1

Braz. J. Phys. 33 (2003) 55-72

Physics

Condensed Matter

Strongly Correlated Electrons

36 pages, 4 figures, standard LaTex, Brazilian School on Statistical Mechanics (2002), PDF and PS files available at http://ww

Scientific paper

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.

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