Abstract

Exact numerical solution of a chain of 340 atoms has been obtained to study the electron localization in a disordered system with long-range hopping. The moment and the inverse participation ratio are calculated to check the electron localization and then compared with the end component ratio. In contrast to the random system with short-range hopping, we discover that the states in the bulk part of the density of states are mostly localized while those in the tail are mostly extended.

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Topics from this Paper

  • Long-range Hopping
  • Inverse Participation Ratio
  • Electron Localization
  • Short-range Hopping
  • Inverse Ratio
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