3 years ago

Critical percolation without fine tuning on the surface of a topological superconductor.

Matthew S. Foster, Sayed Ali Akbar Ghorashi, Yunxiang Liao

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).

Publisher URL: http://arxiv.org/abs/1711.03972

DOI: arXiv:1711.03972v2

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