Finite-size scaling of power-law bond-disordered Anderson models

摘要: We investigate numerically the nature of energy eigenstates in one-dimensional bond-disordered Anderson models with hopping amplitudes decreasing as H i j 1/‖i-j‖ α . The become delocalized whenever hoppingamplitudes decay slower than 1/r. By performing an exact diagonalization scheme on finite chains, we compute participation ratio all eigenstates. Employing a finite-size scaling analysis, report relevant exponents characterizing this delocalization transition well level-spacing distribution at critical point a= I. random are taken from both uniform and sign distributions. show that these display similar behavior vicinity = 1. However, model exhibits asymptotic limit α→∞ universal regime is also reported.