Anatomy of topological Anderson transitions
arXiv:2301.04565 · doi:10.1103/PhysRevB.108.224201
Abstract
We study mesoscopic signatures of the topological Anderson transitions in topological disordered chains. To this end we introduce an integer-valued sample-specific definition of the topological index in finite size systems. Its phase diagram exhibits a fascinating structure of intermittent topological phases, dubbed topological islands. Their existence is rooted in the real zeros of the underlying random polynomial. Their statistics exhibits finite-size scaling, pointing to the location of the bulk topological Anderson transition. While the average theories in AIII and BDI symmetry classes are rather similar, the corresponding patterns of topological islands and their statistics are qualitatively different. We also discuss observable signatures of sharp topological transitions in mesoscopic systems, such as persistent currents and entanglement spectra.
5 pages, 5 figures
References in corpus (12)
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Topological Anderson Insulator
- Photonic Topological Anderson Insulators
- Entanglement Spectrum of a Disordered Topological Chern Insulator
- Disorder-induced Floquet Topological Insulators
- Aharonov-Bohm oscillations in disordered topological insulator nanowires
- Topological Anderson Insulator in Three Dimensions
- Real-space calculation of the conductivity tensor for disordered topological matter
- The dependence of topological Anderson insulator on the type of disorder
- Topology vs. Anderson localization: non-perturbative solutions in one dimension
- Disorder-Induced Multiple Transition involving Z2 Topological Insulator
- Weak quantization of non-interacting topological Anderson insulator