Emerging complexity in the self-dual theory of superconductivity

Area of Science:

• Physics
• Complex Systems
• Condensed Matter Physics

Background:

• Understanding pattern formation in nature is key to complex systems.
• Current models often rely on multi-scale interactions leading to system frustration.
• This frustration results in diverse pattern morphologies.

Purpose of the Study:

• To explore an alternative mechanism for spontaneous complex pattern formation.
• To investigate a theory that generates intricate and topologically non-trivial patterns.
• To explain unique spatial flux and condensate profiles in superconductors.

Main Methods:

• Utilizing the self-dual Ginzburg-Landau theory.
• Exploring potential applications in other Maxwell-Higgs models.
• Analyzing the resulting spatial flux and condensate profiles.

Main Results:

• A mechanism generating a wide range of complex patterns was identified.
• The theory produces intricate and topologically non-trivial pattern morphologies.
• Unique spatial flux and condensate profiles were observed, bridging superconductivity types I and II.

Conclusions:

• The self-dual Ginzburg-Landau theory offers a novel perspective on pattern emergence.
• This mechanism provides a unified explanation for diverse patterns in nature.
• The findings have implications for understanding phenomena in superconductors.