Targeting specific eigenvectors and eigenvalues of a given Hamiltonian using arbitrary selection criteria

@inproceedings{Tackett2002TargetingSE,
  title={Targeting specific eigenvectors and eigenvalues of a given Hamiltonian using arbitrary selection criteria},
  author={Alan R. Tackett and Massimiliano Di Ventra},
  year={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 withou diagonalizing the full Hamiltonian, by usingany arbitrary physical propertyof 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… CONTINUE READING
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