We investigate the presence of percolating states in disordered two-dimensional topological insulators. In particular, we uncover a close connection between these states and the so-called topological Anderson insulator (TAI), which is a topologically non-trivial phase induced by the presence of disorder. The decay of this phase could previously be connected to a delocalization of bulk states with increasing disorder strength. In this work we identify this delocalization to be the result of a percolation transition of states that circumnavigate the hills of the bulk disorder potential.
@article{arxiv.1505.07227,
title = {Percolating States in the Topological Anderson Insulator},
author = {Adrian Girschik and Florian Libisch and Stefan Rotter},
journal= {arXiv preprint arXiv:1505.07227},
year = {2015}
}