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In the previous work, we investigated the correlation-inducedlocalization-delocalization transition (LDT) of the wavefunction at band center($E=0$) in the one-dimensional tight-binding model with fractal disorder[Yamada, EPJB (2015) 88, 264]. In the present work, we study the energy ($E\neq 0$) dependence of the normalized localization length and thedelocalization of the wavefunction at the different energy in the same system.The mobility edges in the LDT arise when the fractal dimension of the potentiallandscape is larger than the critical value depending on the disorder strength,which is consistent with the previous result.In addition, we present thedistribution of individual NLL and Lyapunov exponent in the system with LDT.

Delocalization in One-Dimensional Tight-Binding Models with Fractal Disorder II: Existence of Mobility Edge