Computer Physics Communications Program Library

Programs in Physics & Physical Chemistry

PROGRAM SUMMARY

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
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.