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Generalized Gilat–Raubenheimer method for density-of-states calculation in photonic crystals.

Authors :
Boyuan Liu
Steven G Johnson
John D Joannopoulos
Ling Lu
Source :
Journal of Optics; Apr2018, Vol. 20 Issue 4, p1-1, 1p
Publication Year :
2018

Abstract

An efficient numerical algorithm is the key for accurate evaluation of density of states (DOS) in band theory. The Gilat–Raubenheimer (GR) method proposed in 1966 is an efficient linear extrapolation method which was limited in specific lattices. Here, using an affine transformation, we provide a new generalization of the original GR method to any Bravais lattices and show that it is superior to the tetrahedron method and the adaptive Gaussian broadening method. Finally, we apply our generalized GR method to compute DOS of various gyroid photonic crystals of topological degeneracies. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20408978
Volume :
20
Issue :
4
Database :
Complementary Index
Journal :
Journal of Optics
Publication Type :
Academic Journal
Accession number :
128735978
Full Text :
https://doi.org/10.1088/2040-8986/aaae52