Higher-order Topological Anderson Insulators

Abstract

We study disorder effects in a two-dimensional system with chiral symmetry and find that disorder can induce a quadrupole topological insulating phase (a higher-order topological phase with quadrupole moments) from a topologically trivial phase. Their topological properties manifest in a topological invariant defined based on effective boundary Hamiltonians, the quadrupole moment, and zero-energy corner modes. We find gapped and gapless topological phases and a Griffiths regime. In the gapless topological phase, all the states are localized, while in the Griffiths regime, the states at zero energy become multifractal. We further apply the self-consistent Born approximation to show that the induced topological phase arises from disorder renormalized masses. We finally introduce a practical experimental scheme with topoelectrical circuits where the predicted topological phenomena can be observed by impedance measurements. Our work opens the door to studying higher-order topological Anderson insulators and their localization properties.

14 pages, 11 figures

References in corpus (12)

• Anderson Transitions
• Localization of interacting fermions at high temperature
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Topological Anderson Insulator
• Photonic Topological Anderson Insulators
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Disorder-induced Floquet Topological Insulators
• Topological Anderson Insulator in Three Dimensions
• Helical edge and surface states in HgTe quantum wells and bulk insulators
• Topological Phase Transitions in Disordered Electric Quadrupole Insulators
• Disorder-Induced Quantum Phase Transitions in Three-Dimensional Second-Order Topological Insulators

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• Probing Chiral-Symmetric Higher-Order Topological Insulators with Multipole Winding Number
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• Higher-order topology in twisted multilayer systems: a review
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