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arXiv · 1711.03972

Critical Percolation Without Fine Tuning on the Surface of a Topological Superconductor

Sayed Ali Akbar Ghorashi·Yunxiang Liao·Matthew S. Foster
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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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Sayed Ali Akbar Ghorashi, Yunxiang Liao, Matthew S. Foster. 2018-06-08. Critical Percolation Without Fine Tuning on the Surface of a Topological Superconductor. https://doi.org/10.1103/physrevlett.121.016802

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