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• W2960352011 abstract "Motivated by a recent experimental observation of superconductivity in the Al-Zn-Mg quasicrystal, we study the low-temperature behavior of electrons moving in the quasiperiodic potential of the Ammann--Beenker tiling in the presence of a local attraction. We employ the Bogoliubov--de Gennes approach for approximants of different sizes and determine the local pairing amplitude ${mathrm{ensuremath{Delta}}}_{i}$ as well its spatial average, ${mathrm{ensuremath{Delta}}}_{0}$, the superconducting order parameter. Due to the lack of periodicity of the octagonal tiling, the resulting superconducting state is inhomogeneous, but we find no evidence of the superconductivity islands, as observed in disordered systems, with ${mathrm{ensuremath{Delta}}}_{i}ensuremath{rightarrow}0$ at ${T}_{c}$ for all sites. In the weak-coupling regime, we find that the superconducting order parameter depends appreciably on the approximant size only if the Fermi energy sits at a pseudogap in the noninteracting density of states, with ${mathrm{ensuremath{Delta}}}_{0}$ decreasing as the system size increases. These results are in line with the experimental observations for the Al-Zn-Mg quasicrystal, and they suggest that, despite their electronic structure, quasicrystals are prone to display conventional BCS-like superconductivity." @default.
• W2960352011 created "2019-07-23" @default.
• W2960352011 creator A5016638851 @default.
• W2960352011 creator A5082651651 @default.
• W2960352011 date "2019-07-11" @default.
• W2960352011 modified "2023-10-02" @default.
• W2960352011 title "Conventional superconductivity in quasicrystals" @default.
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• W2960352011 doi "https://doi.org/10.1103/physrevb.100.014510" @default.
• W2960352011 hasPublicationYear "2019" @default.
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