Exact Mobility edges and topological Anderson insulating phase in a slowly varying quasiperiodic model

Abstract

We uncover the relationship of topology and disorder in a one-dimensional Su-Schrieffer-Heeger chain subjected to a slowly varying quasi-periodic modulation. By numerically calculating the disorder-averaged winding number and analytically studying the localization length of the zero modes, we obtain the topological phase diagram, which implies that the topological Anderson insulator (TAI) can be induced by a slowly varying quasi-periodic modulation. Moreover, unlike the localization properties in the TAI phase caused by random disorder, mobility edges can enter into the TAI region identified by the fractal dimension, the inverse participation ratio, and the spatial distributions of the wave functions, the boundaries of which coincide with our analytical results.

9 pages, 8 figures

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Cited by in corpus (11)

• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Su-Schrieffer-Heeger quasicrystal: Topology, localization, and mobility edge
• Emergent multi-loop nested point gap in a non-Hermitian quasiperiodic lattice
• Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
• Topological Anderson insulator phases in one dimensional quasi-periodic mechanical SSH chains
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Disorder driven topological phase transitions in 1D mechanical quasicrystals
• Recent progress on disorder-induced topological phases
• Non-self-averaging topological Anderson insulator
• Topologically nontrivial multicritical points
• Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal