Scaling of critical wavefunctions at topological Anderson transitions in 1D

Abstract

Topological Anderson transitions, which are direct phase transitions between topologically distinct Anderson localised phases, allow for criticality in 1D disordered systems. We analyse the statistical properties of an emsemble of critical wavefunctions at such transitions. We find that the local moments are strongly inhomogeneous, with significant amplification towards the edges of the system. In particular, we obtain an analytic expression for the spatial profile of the local moments which is valid at all topological Anderson transitions in 1D, as we verify by direct comparison with numerical simulations of various lattice models.

5+5 pages, 4 figures

References in corpus (5)

• Classification of topological insulators and superconductors in three spatial dimensions
• Anderson Transitions
• Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder
• Localization in disordered superconducting wires with broken spin-rotation symmetry
• Topology vs. Anderson localization: non-perturbative solutions in one dimension

Cited by in corpus (2)

• The KPZ equation in a half space with flat initial condition and the unbinding of a directed polymer from an attractive wall
• Steady state of the KPZ equation on an interval and Liouville quantum mechanics