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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_0
Distribution 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(N4) to 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.