Momentum-Space Analysis of Topological Superconductivity in Two-Dimensional Quasicrystals

JPS Conf. Proc. 38, 011062 (2023) [6 pages]

Proceedings of the 29th International Conference on Low Temperature Physics (LT29)

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Masahiro Hori¹^,²^,*, Rasoul Ghadimi³, Takanori Sugimoto²^,⁴, Takami Tohyama², and K. Tanaka¹

¹Department of Physics and Engineering Physics, and Centre for Quantum Topology and Its Applications (quanTA), University of Saskatchewan, 116 Science Place, Saskatoon, SK, S7N 5E2, Canada

²Department of Applied Physics, Tokyo University of Science, Katsushika, Tokyo 125-8585, Japan

³Center for Correlated Electron Systems, Institute for Basic Science (IBS), Seoul 08826, Korea

⁴Center for Quantum Information and Quantum Biology, Osaka University, Toyonaka, Osaka 560-0043, Japan

Received July 26, 2022

We self-consistently solve the Bogoliubov–de Gennes equations on the tight-binding model for s-wave topological superconductivity (TSC) in two-dimensional (2D) quasicrystals (QCs). For the mean fields, we consider not only the superconducting order parameter but also the spin-dependent Hartree potential. We calculate the topological invariant for 2D Ammann–Beenker (AB) QCs to examine the realization of TSC in QCs. We demonstrate TSC in QCs whose distribution of the superconducting order parameter reflects the symmetry of the structure of AB QCs. Furthermore, we perform momentum-space analysis by calculating the spectral function. We identify specific wave numbers which are to be related to the topological phase transition in AB QCs.

The Author(s)

This article is published by the Physical Society of Japan under the terms of the Creative Commons Attribution 4.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the article, journal citation, and DOI.

https://doi.org/10.7566/JPSCP.38.011062

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