Abstract
Calculation of the Green's function in perfect crystals and crystals with impurities requires the integration inside the Brillouin zone of a complex matrix. The irreducible part of the zone is divided in non-overlapping tetrahedra and the integration is done numerically inside each tetrahedron. The integral over the Brillouin zone is obtained by the rotation of the one in the irreducible part with the appropriate rotational matrices. In the present work the most common methods of integration inside a tetrahedron are reviewed and compared for their convergence. New formulas of the weighting factors for limiting cases are presented that agree with the results of analytically calculated integrals.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.