A single Abrikosov vortex trapped in a mesoscopic superconducting cylindrical surface.

Area of Science:

• Condensed Matter Physics
• Superconductivity
• Vortex Dynamics

Background:

• Abrikosov vortices are fundamental excitations in superconductors.
• Understanding vortex behavior is crucial for superconducting device applications.
• Mesoscopic superconducting structures offer unique environments for studying quantum phenomena.

Purpose of the Study:

• To investigate the dynamics of a single Abrikosov vortex trapped on a superconducting cylindrical surface.
• To analyze the vortex's response to a transverse magnetic field and transport current.
• To compare the observed behavior with established models like the resistively shunted Josephson junction.

Main Methods:

• Utilizing the time-dependent Ginzburg-Landau (TDGL) formalism.
• Simulating the vortex behavior under specific conditions of transport current and magnetic field.
• Analyzing the resulting electric field versus current density (E(J)) curves and time-dependent electric fields.

Main Results:

• The Abrikosov vortex behaves as an overdamped quasi-particle.
• The vortex motion is effectively described by a tilted washboard potential.
• The system exhibits electrical characteristics analogous to a resistively shunted Josephson weak link.

Conclusions:

• The study provides a detailed model for vortex dynamics in confined superconducting geometries.
• The analogy to Josephson junctions suggests potential for novel superconducting electronic components.
• The findings contribute to the fundamental understanding of superconductivity and vortex pinning mechanisms.