Wire network behavior in superconducting Nb films with diluted triangular arrays of holes

TL;DR

This study investigates how the connectivity of diluted triangular hole arrays in superconducting Nb films influences their magnetic field-dependent resistance and transition temperature, revealing similarities to wire network behaviors.

Contribution

It demonstrates that the low-field fine structures in resistance and transition temperature are governed by the arrays' connectivity, akin to wire network symmetries.

Findings

Fine structures in R(H) and T_c(H) are observed in both honeycomb and kagome arrays.

Experimental data resemble wire network behaviors with corresponding symmetries.

Connectivity determines the low-field fine structures in the patterned films.

Abstract

We present transport measurement results on superconducting Nb films with diluted triangular arrays (honeycomb and kagom\'{e}) of holes. The patterned films have large disk-shaped interstitial regions even when the edge-to-edge separations between nearest neighboring holes are comparable to the coherence length. Changes in the field interval of two consecutive minima in the field dependent resistance $R(H)$ curves are observed. In the low field region, fine structures in the $R(H)$ and $T_c(H)$ curves are identified in both arrays. Comparison of experimental data with calculation results shows that these structures observed in honeycomb and kagom\'{e} hole arrays resemble those in wire networks with triangular and $T_3$ symmetries, respectively. Our findings suggest that even in these specified periodic hole arrays with very large interstitial regions, the low field fine structures are determined by the connectivity of the arrays