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

Abstract

In the previous work, we investigated the correlation-induced localization-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 ($E\ne 0$) dependence of the normalized localization length and the delocalization of the wavefunction at the different energy in the same system. The mobility edges in the LDT arise when the fractal dimension of the potential landscape is larger than the critical value depending on the disorder strength, which is consistent with the previous result.In addition, we present the distribution of individual NLL and Lyapunov exponent in the system with LDT.

8 pages, 13 figures

References in corpus (4)

• Cooperative effects and disorder: A scaling analysis of the spectrum of the effective atomic Hamiltonian
• Differentiable potentials and metallic states in disordered one-dimensional systems
• Analyticity of Quantum States in One-Dimensional Tight-Binding Model
• Single parameter scaling of one-dimensional systems with real-space long-range correlated disorder

Cited by in corpus (1)

• Localization of disordered harmonic chain with long-range correlation