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Cooper Pairs Distribution function for bcc Niobium under pressure from first-principles.

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We report a new Cooper Pairs Distribution function for Niobium under pressure, identifying low-frequency vibrations as key for Cooper-pair formation and explaining anomalies in Niobium superconductivity.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Superconductivity

Background:

  • Superconductivity in Niobium (Nb) exhibits anomalies at specific pressures (5 and 50 GPa).
  • Understanding Cooper-pair formation is crucial for explaining superconducting properties.

Purpose of the Study:

  • To introduce and analyze the Cooper Pairs Distribution function for bcc Niobium under pressure.
  • To determine the spectral regions responsible for Cooper-pair formation.
  • To provide a framework for understanding pressure-induced anomalies in Niobium superconductivity.

Main Methods:

  • First-principles calculations of the Eliashberg spectral function and phonon density of states.
  • Development and application of the Cooper Pairs Distribution function.
  • Analysis of the Cooper Pairs Distribution function to determine the formation regions and the parameter.

Main Results:

  • The Cooper Pairs Distribution function was calculated for bcc Niobium under pressure.
  • Low-frequency vibrations were identified as the primary spectral region for Cooper-pair formation.
  • The derived parameter correlates with the total number of Cooper-pairs formed at a given temperature.

Conclusions:

  • The Cooper Pairs Distribution function offers insights into the superconductor state of Niobium.
  • The findings provide a pathway to understanding the observed anomalies in Niobium at 5 and 50 GPa.
  • This work highlights the role of lattice vibrations in pressure-dependent superconductivity.