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This study explores quantum percolation variations, finding that modifying bond hopping integrals shifts localization boundaries rather than eliminating them. The original quantum percolation results remain stable for a range of energies and modified hopping parameters.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Disordered Systems

Background:

  • Previous work numerically calculated transmission coefficients for 2D quantum percolation.
  • Established three regimes: exponentially localized, power-law localized, and delocalized states.

Purpose of the Study:

  • Investigate a quantum percolation variation with non-zero hopping integrals on diluted sites.
  • Analyze the stability and behavior of localization regimes under modified hopping conditions.

Main Methods:

  • Numerical calculation of transmission coefficient.
  • Calculation of inverse participation ratio.
  • Analysis of a modified quantum percolation model with fractional hopping integrals (w).

Main Results:

  • Original quantum percolation results are stable for w > 0 across a wide energy range.
  • Increasing w shifts the boundaries between localization regimes.
  • Localization effects are eliminated only when w reaches 10%-40% of the non-diluted hopping integral (V).

Conclusions:

  • The three localization regimes in quantum percolation are robust to modifications in hopping integrals.
  • The boundaries between these regimes are sensitive to the magnitude of the hopping integral on diluted sites.
  • Significant changes to hopping integrals are required to overcome localization effects.