Phys. Rev. B 66, 245104 (2002) [7 pages]Targeting specific eigenvectors and eigenvalues of a given Hamiltonian using arbitrary selection criteriaReceived 9 May 2002; revised 1 July 2002; published 5 December 2002 We present a method for calculating some select eigenvalues and corresponding eigenvectors of a given Hamiltonian. We show that it is possible to target the eigenvalues and eigenvectors of interest without diagonalizing the full Hamiltonian, by using any arbitrary physical property of the eigenvectors. This allows us to target, for example, the eigenvectors based on their localization properties (e.g., states localized at a given surface or interface). We also show that the method scales linearly with system size. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.66.245104
DOI:
10.1103/PhysRevB.66.245104
PACS:
71.15.-m, 31.15.Ct, 31.15.Ew
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