Hartree–Fock interaction in superconducting condensate fractals

• Edward G. Nikonov,
• Yajiang Chen,
• Mauro M. Doria and
• Arkady A. Shanenko

Beilstein J. Nanotechnol. 2025, 16, 2177–2182, doi:10.3762/bjnano.16.150

• demonstrate that this scenario changes fundamentally in quasicrystalline systems, where the intrinsic lack of translational symmetry leads to a fractal spatial distribution of the superconducting condensate and electron density. By investigating a Fibonacci chain as a prototype quasicrystal, we numerically

• : Fibonacci chain; fractal superconductivity; Hartree–Fock interaction; quasicrystal; Introduction It is well known, dating back to the classical book by de Gennes [1], that, in conventional superconducting materials, the Hartree–Fock (HF) interaction merely reduces to a shift of the chemical potential, as

• below a critical temperature of Tc ∼ 0.05 K [12]. More recently, in 2024 and 2025, much higher critical temperatures of Tc ∼ 1 K and Tc ∼ 5.47 K were reported in van der Waals-layered dodecagonal quasicrystals Ta1.6Te [13] and in a monoclinic approximant to the decagonal quasicrystal Al13Os4[14