### Abstract

An improvement of the linear triangle method for two-dimensional Brillouin zone integrations is presented. A simple correction formula for this improvement is given and applied to several systems - a three layer Fe(001) slab, a three layer slab of Si(001), and three layers of MgB_{2}(001) - to investigate its validity and efficiency. This "improved triangle method" is seen to give better convergence behavior of the total energy, atomic force, and magnetic moment with respect to the number of k-points than do the normal triangle method and the special k-point method of Monkhorst and Pack.

Original language | English |
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Article number | 233102 |

Pages (from-to) | 2331021-2331024 |

Number of pages | 4 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 66 |

Issue number | 23 |

Publication status | Published - Dec 15 2002 |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

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## Cite this

Lee, J. H., Shishidou, T., & Freeman, A. J. (2002). Improved triangle method for two-dimensional Brillouin zone integrations to determine physical properties.

*Physical Review B - Condensed Matter and Materials Physics*,*66*(23), 2331021-2331024. [233102].