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Critical Percolation without Fine-Tuning on the Surface of a Topological Superconductor
Sayed Ali Akbar Ghorashi1, Yunxiang Liao2, Matthew S Foster2,3
1Texas Center for Superconductivity and Department of Physics, University of Houston, Houston, Texas 77204, USA.
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).
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