Tunable Flux Vortices in Two-Dimensional Dirac Superconductors

Area of Science:

• Quantum mechanics
• Condensed matter physics
• Superconductivity

Background:

• The geometry of quantum wave functions has significant implications for both noninteracting and interacting systems.
• A complete understanding of the interplay between geometrical effects in noninteracting and interacting systems is lacking.

Purpose of the Study:

• To demonstrate how single-particle Berry curvature modifies fluxoid quantization in Bardeen-Cooper-Schrieffer superconductors.
• To explore the connection between single-particle and many-body Berry phases.

Main Methods:

• Investigating the influence of single-particle Berry curvature on fluxoid quantization.
• Utilizing variational Ansätze to link single-particle and many-body wave functions.

Main Results:

• The single-particle Berry curvature associated with the normal phase in two dimensions modifies the fluxoid quantization of a Bardeen-Cooper-Schrieffer superconductor.
• Anomalous quantization is predicted under specific experimental conditions.

Conclusions:

• Variational Ansätze are crucial for establishing a clear link between single-particle and many-body Berry phases.
• Geometric effects encoded in quantum wave functions play a vital role in superconducting phenomena.