Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] aedj_v1_0.tar.gz(81 Kbytes) | ||
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Manuscript Title: The Density Matrix Renormalization Group for Strongly Correlated Electron Systems: A Generic Implementation | ||

Authors: G. Alvarez | ||

Program title: DMRG++ | ||

Catalogue identifier: AEDJ_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 180(2009)1572 | ||

Programming language: C++, MPI. | ||

Computer: PC, HP cluster. | ||

Operating system: Any, tested on linux. | ||

Has the code been vectorised or parallelized?: Yes | ||

RAM: 1GB (256MB is enough to run included test) | ||

Keywords: density-matrix renormalization group, dmrg, strongly correlated electrons, generic programming. | ||

PACS: 71.10.Fd 71.27.+a 78.67.Hc. | ||

Classification: 23. | ||

External routines: BLAS and LAPACK | ||

Nature of problem:Strongly correlated electrons systems, display a broad range of important phenomena, and their study is a major area of research in condensed matter physics. In this context, model Hamiltonians are used to simulate the relevant interactions of a given compound, and the relevant degrees of freedom. These studies rely on the use of tight-binding lattice models that consider electron localization, where states on one site can be labeled by spin and orbital degrees of freedom. The calculation of properties from these Hamiltonians is a computational intensive problem, since the Hilbert space over which these Hamiltonians act grows exponentially with the number of sites on the lattice. | ||

Solution method:The DMRG is a numerical variational technique to study quantum many body Hamiltonians. For one-dimensional and quasi one-dimensional systems, the DMRG is able to truncate, with bounded errors and in a general and efficient way, the underlying Hilbert space to a constant size, making the problem tractable. | ||

Running time:The test program runs in 15 seconds. |

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