Exotic vortex states and enhancement of orbital upper critical fields in an s-wave quasicrystalline superconductor
Abstract
Quasicrystals possess long-range order without translational symmetry, giving rise to intrinsically inhomogeneous superconducting states. Using the Bogoliubov-de Gennes mean-field theory, we investigate vortex states in an s-wave quasicrystalline superconductor on the Ammann-Beenker tiling, with particular emphasis on the high-field regime. We find that the vortex configuration can differ qualitatively from the Abrikosov triangular lattice. In particular, at filling ν=0.8, vortices preferentially penetrate weak-pairing regions centered on sites with coordination number $8$, indicating that their spatial organization is strongly influenced by the local geometry. Furthermore, we observe an enhanced upper critical field. At ν=0.8, where the enhancement is particularly pronounced, the spatially averaged order parameter exhibits a plateau-like field dependence accompanied by the formation of vortex clusters. These clusters accommodate additional flux in locally weak superconducting regions, providing a microscopic interpretation of the plateau-like behavior. Moreover, the upper critical field increases upon cooling toward zero temperature without a clear sign of saturation.
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BibTeX
@misc{fukushima2026exotic,
title = {{Exotic vortex states and enhancement of orbital upper critical fields in an $s$-wave quasicrystalline superconductor}},
author = {Takumi Fukushima and Yuki Yamamoto and Nayuta Takemori and Shiro Sakai and Masanori Ichioka and Anuradha Jagannathan},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29064},
eprint = {2610.29064},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29064},
}
RIS
TY - UNPB
TI - Exotic vortex states and enhancement of orbital upper critical fields in an s-wave quasicrystalline superconductor
AU - Takumi Fukushima
AU - Yuki Yamamoto
AU - Nayuta Takemori
AU - Shiro Sakai
AU - Masanori Ichioka
AU - Anuradha Jagannathan
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29064
UR - https://arxiv.org/abs/2610.29064
AB - Quasicrystals possess long-range order without translational symmetry, giving rise to intrinsically inhomogeneous superconducting states. Using the Bogoliubov-de Gennes mean-field theory, we investigate vortex states in an s-wave quasicrystalline superconductor on the Ammann-Beenker tiling, with particular emphasis on the high-field regime. We find that the vortex configuration can differ qualitatively from the Abrikosov triangular lattice. In particular, at filling ν=0.8, vortices preferentially penetrate weak-pairing regions centered on sites with coordination number $8$, indicating that their spatial organization is strongly influenced by the local geometry. Furthermore, we observe an enhanced upper critical field. At ν=0.8, where the enhancement is particularly pronounced, the spatially averaged order parameter exhibits a plateau-like field dependence accompanied by the formation of vortex clusters. These clusters accommodate additional flux in locally weak superconducting regions, providing a microscopic interpretation of the plateau-like behavior. Moreover, the upper critical field increases upon cooling toward zero temperature without a clear sign of saturation.
ER -