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

• ], respectively. Experimental observations of the superconductivity in quasicrystals ignited big interest regarding many open problems related to the superconducting condensate in quasiperiodic systems. Most of the recent results were obtained for a superconducting Fibonacci chain, being a simplified one