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

Author(s)
Liu, Boyuan; Lu, Ling; Johnson, Steven G.; Joannopoulos, John D.
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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. Keywords: density of states, photonic crystal, topological photonics
Date issued
2018-03
URI
http://hdl.handle.net/1721.1/115584
Department
Massachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of Physics
Journal
Journal of Optics
Publisher
IOP Publishing
Citation
Liu, Boyuan, et al. “Generalized Gilat–Raubenheimer Method for Density-of-States Calculation in Photonic Crystals.” Journal of Optics, vol. 20, no. 4, Apr. 2018, p. 044005. Journal of Optics 20, no. 4 (April 1, 2018): 044005.
Version: Author's final manuscript
ISSN
2040-8978
2040-8986
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