## Abstract

We report results of our numerical calculations, based on the equation of motion method, of dc electrical conductivity, and of density of states for up to 40×40 two-dimensional square lattices modeling a tight-binding Hamiltonian for a binary (AB) compound, disordered by randomly distributed B vacancies up to 10%. Our results indicate strongly localized states away from band centers separated from the relatively weakly localized states towards midband. This is in qualitative agreement with the idea of a "mobility edge" separating exponentially localized states from the power-law localized states as suggested by the two-parameter scaling theory of Kaveh in two dimensions. An alternative explanation, consistent with one-parameter scaling theory, is that the observed numerical effects may arise as a consequence of the variation of the localization length over the band.

Original language | English |
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Pages (from-to) | 15988-15991 |

Number of pages | 4 |

Journal | Physical Review B |

Volume | 47 |

Issue number | 23 |

DOIs | |

Publication status | Published - 1993 |

Externally published | Yes |

## ASJC Scopus subject areas

- Condensed Matter Physics