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arXiv:0902.3185 · Computer Physics Communications

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

Gonzalo Álvarez

Published Feb 27, 2009• 90 citations
arXivHTMLPDF
DOI
10.1016/j.cpc.2009.02.016

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A detailed description of the time-step-targeting time evolution method within the density-matrix renormalization-group algorithm is presented. The focus of this publication is on the implementation of the algorithm and its generic application. The case of one-site excitations within a Hubbard model is analyzed as a test for the algorithm, using open chains and two-leg ladder geometries. The accuracy of the procedure in the case of the recently discussed holon-doublon photo excitations of Mott insulators is also analyzed. Performance and parallelization issues are discussed. In addition, the full open-source code is provided as supplementary material.