Vortex dynamics and specific heat of type II superconductor with quasi-periodic geometry

TL;DR

This paper investigates vortex dynamics and specific heat in a quasi-periodic type II superconductor using numerical simulations, revealing chaotic behavior at low interaction parameters and regularity at high parameters.

Contribution

It introduces a theoretical analysis of vortex behavior and specific heat variation in quasi-periodic superconductors with new insights into bifurcation and stability patterns.

Findings

Chaotic vortex dynamics at low interaction and mismatch parameters.

Divergent specific heat behavior correlates with chaos.

System becomes stable and regular at high interaction and mismatch values.

Abstract

The vortex dynamics and the specific heat of a type II superconducting system with quasi-periodic geometry is studied theoretically for different values of interaction parameters using the numerical simulation technique, where the vortex-vortex interaction potential is considered in the form of the modified Bessel's function of first kind. The dynamics of the system is analysed by phase space trajectories of the vortex for both high and low values as well as for both high and low mismatch of vortex-vortex and vortex-pinning interaction parameters. The specific heat variation with temperature is analysed statistically for different values of interaction parameters. It is observed that for low values and lower mismatch of interaction parameters, the system is highly chaotic and shows a bifurcation pattern similar to Hopf bifurcation. The specific heat also shows a highly divergent character in this situation. However for high values and higher mismatch, the superconducting system tends to be a very regular one. The trajectory of the vortices will also be very stable in this situation. Similar situations are also observed respectively for low and high values of the quasi-periodic parameter.