Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

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Manuscript Title: The Truncated Polynomial Expansion Monte Carlo Method for Fermion Systems Coupled to Classical Fields: A Model Independent Implementation | ||

Authors: G. Alvarez, C. Sen, N. Furukawa, Y. Motome, E. Dagotto | ||

Program title: TPEM | ||

Catalogue identifier: ADVK_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 168(2005)32 | ||

Programming language: C. | ||

Computer: PC. | ||

Operating system: Linux, UNIX. | ||

Keywords: Moment expansion, Monte Carlo method, Correlated electrons. | ||

PACS: 75.10.-b, 71.10.Fd, 02.70.Lq. | ||

Classification: 23. | ||

External routines: The LaPack library can be used by the test program and the GSL library can be used by TPEM though they are not essential | ||

Nature of problem:The study of correlated electrons coupled to classical fields appears in the treatment of many materials of much current interest in condensed matter theory, e.g. manganites, diluted magnetic semi-conductors and high temperature superconductors among others. | ||

Solution method:Typically an exact diagonalization of the electronic sector is performed in this type of model for each configuration of classical fields, which are integrated using a classical Monte Carlo algorithm. A polynomial expansion of the density of states is able to replace the exact diagonalization, decreasing the computational complexity of the problem from O(N) to ^{4}O(N) and allowing for the study of larger lattices and more complex and realistic systems. | ||

Running time:The test program takes a few seconds to run. |

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