Solving complex band structure problems with the FEAST eigenvalue algorithm

被引:18
|
作者
Laux, S. E. [1 ]
机构
[1] TJ Watson Res Ctr, SRDC, IBM Res Div, Yorktown Hts, NY 10598 USA
来源
PHYSICAL REVIEW B | 2012年 / 86卷 / 07期
关键词
D O I
10.1103/PhysRevB.86.075103
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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.
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页数:10
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