Critical Percolation without Fine-Tuning on the Surface of a Topological Superconductor
Abstract
We present numerical evidence that most two-dimensional surface states of a bulk topological superconductor (TSC) sit at an integer quantum Hall plateau transition. We study TSC surface states in class CI with quenched disorder. Low-energy (finite-energy) surface states were expected to be critically delocalized (Anderson localized). We confirm the low-energy picture, but find instead that finite-energy states are also delocalized, with universal statistics that are independent of the TSC winding number, and consistent with the spin quantum Hall plateau transition (percolation).
- Publication:
-
Physical Review Letters
- Pub Date:
- July 2018
- DOI:
- 10.1103/PhysRevLett.121.016802
- arXiv:
- arXiv:1711.03972
- Bibcode:
- 2018PhRvL.121a6802G
- Keywords:
-
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- v3: Published version. 6+16 pages, 4+22 figures