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The Hartree-Fock interaction significantly impacts quasicrystalline superconductors, unlike conventional ones. This interaction alters the superconducting order parameter and critical temperature due to the system's inherent lack of translational symmetry.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • The Hartree-Fock (HF) interaction typically shifts the chemical potential in conventional superconductors without altering observables.
  • Deviations occur only when translational symmetry is broken, inducing spatial variations in superconducting order parameters and electron density.
  • Quasicrystalline systems possess intrinsic translational symmetry breaking, leading to unique electronic properties.

Purpose of the Study:

  • To investigate the fundamental impact of the Hartree-Fock interaction on quasicrystalline superconductors.
  • To analyze how the intrinsic fractal nature of quasicrystals modifies the HF interaction's effect on superconductivity.
  • To quantify the changes in the superconducting order parameter, critical temperature, and related exponents.

Main Methods:

  • Numerical solution of the Bogoliubov-de Gennes equations.
  • Investigation of a Fibonacci chain as a representative quasicrystalline model.
  • Analysis of the spatial distribution of the superconducting condensate and electron density.

Main Results:

  • The HF potential significantly enhances self-similar spatial oscillations of the order parameter in quasicrystals beyond half-filling.
  • The average value of the order parameter is reduced, and its critical exponent is altered by the HF interaction.
  • A suppression of the critical temperature, reaching up to 20% for specific parameters, was observed.

Conclusions:

  • The Hartree-Fock interaction plays a crucial role in quasicrystalline superconductors, fundamentally differing from its role in conventional systems.
  • Accurate analysis of superconducting properties in quasicrystals necessitates comparing results with and without the HF interaction.
  • The fractal nature of quasicrystals leads to a pronounced influence of the HF potential on the superconducting condensate and critical temperature.