J.H. Stathis, R. Bolam, et al.
INFOS 2005
With straightforward extension, the FEAST eigenvalue algorithm [Polizzi, Phys. Rev. B 79, 115112 (2009)] is capable of solving the generalized eigenvalue problems representing traveling-wave problems-as exemplified by the complex band-structure problem-even though the matrices involved are complex, non-Hermitian, and singular, and hence outside the originally stated range of applicability of the algorithm. The obtained eigenvalues/eigenvectors, however, contain spurious solutions which must be detected and removed. The efficiency and parallel structure of the original algorithm are unaltered. The complex band structures of Si layers of varying thicknesses and InAs nanowires of varying radii are computed as test problems. © 2012 American Physical Society.
J.H. Stathis, R. Bolam, et al.
INFOS 2005
P.C. Pattnaik, D.M. Newns
Physical Review B
Arvind Kumar, Jeffrey J. Welser, et al.
MRS Spring 2000
U. Wieser, U. Kunze, et al.
Physica E: Low-Dimensional Systems and Nanostructures