Localization-delocalization transition in one-dimensional system with long-range correlated diagonal disorder

We show that the electronic states in a one-dimensional (1D) Anderson model of diagonal disorder with long-range correlation proposed by de Moura and Lyra exhibit localization-delocalization phase transition in varying the energy of electrons. Using transfer matrix method, we calculate the average resistivity (p) over bar and investigate how it changes with the size of the system N. For given value of alpha (> 2) we find critical energies E-c1 and E-c2 such that the resistivity decreases with N as a power law (p) over bar proportional to N-gamma for electron energies within the range of [E-c1, E-c2], and exponentially grows with N outside this range. Such behaviors persist in approaching the transition points and the exponent gamma is in the range from 0.92 to 0.96. The origin of the delocalization in this 1D model is discussed.