Topological Insulator in the Presence of Spatially Correlated Disorder

Abstract

We investigate the effect of spatially correlated disorder on two-dimensional topological insulators and on the quantum spin Hall effect which the helical edge states in these systems give rise to. Our work expands the scope of previous investigations which found that uncorrelated disorder can induce a nontrivial phase called the topological Anderson insulator (TAI). In extension of these studies, we find that spatial correlations in the disorder can entirely suppress the emergence of the TAI phase. We show that this phenomenon is associated with a quantum percolation transition and quantify it by generalizing an existing effective medium theory to the case of correlated disorder potentials. The predictions of this theory are in good agreement with our numerics and may be crucial for future experiments.

8 pages, 5 figures; final version including additional data on percolation transition

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Cited by in corpus (32)

• Topological Phases in Two-Dimensional Materials: A Brief Review
• Photonic Topological Anderson Insulators
• Real space topological invariant and higher-order topological Anderson insulator in two-dimensional non-Hermitian systems
• Reentrant localization transition in the Su-Schrieffer-Heeger model with random-dimer disorder
• Disorder Effects in Topological States -- Brief Review of the Recent Developments
• Topological Anderson phase in quasi-periodic waveguide lattices
• Z2 phase diagram of three-dimensional disordered topological insulator via scattering matrix approach
• Topological Anderson insulators induced by random binary disorders
• Transport and localization in a topological phononic lattice with correlated disorder
• Topological Anderson insulator phase in a Dirac-semimetal thin film
• Disorder-driven topological phase transition in Bi2Se3 films
• Phase transitions and scale invariance in topological Anderson insulators
• The Coexistence and Decoupling of Bulk and Edge States in Disordered Two-dimensional Topological Insulators
• Exact Mobility edges and topological Anderson insulating phase in a slowly varying quasiperiodic model
• Percolating States in the Topological Anderson Insulator
• Disorder-induced phase transition in Dirac systems beyond the linear approximation
• Weak quantization of non-interacting topological Anderson insulator
• Effects of disorder on electron tunneling through helical edge states
• Impact of magnetic dopants on magnetic and topological phases in magnetic topological insulators
• Conductance oscillations in quantum point contacts of InAs/GaSb heterostructures
• Disorder-induced topological phase transition in HgCdTe crystals
• Probing the Topological Anderson Transition in Quasiperiodic Photonic Lattices via Chiral Displacement and Wavelength Tuning
• Emergent $Z_2$ Topological Invariant and Robust Helical Edge States in Two-Dimensional Topological Metals
• Disorder-induced phase transitions in double HgTe quantum wells
• Quasiparticle picture of topological phase transitions induced by interactions
• Anomalous universal quantum transport in 2D asymptotic quasiperiodic system
• Impact of thermal fluctuations on transport in antiferromagnetic semimetals
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Finite-temperature topological transitions in the presence of quenched uncorrelated disorder
• Recent progress on disorder-induced topological phases
• Correlated disorder induced anomalous transport in magnetically doped topological insulators
• Effects of critical correlations on quantum percolation in two dimensions