Critical Percolation without Fine-Tuning on the Surface of a Topological Superconductor

Sayed Ali Akbar Ghorashi, Yunxiang Liao, and Matthew S. Foster
Phys. Rev. Lett. 121, 016802 – Published 6 July 2018
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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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  • Received 18 November 2017

DOI:https://doi.org/10.1103/PhysRevLett.121.016802

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Sayed Ali Akbar Ghorashi1, Yunxiang Liao2, and Matthew S. Foster2,3

  • 1Texas Center for Superconductivity and Department of Physics, University of Houston, Houston, Texas 77204, USA
  • 2Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA
  • 3Rice Center for Quantum Materials, Rice University, Houston, Texas 77005, USA

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Issue

Vol. 121, Iss. 1 — 6 July 2018

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