Geometry-induced localization of thermal fluctuations in ultrathin superconducting structures

TL;DR

This paper investigates how the geometry of ultrathin superconducting structures influences thermal fluctuations, revealing that corners induce localized, stronger fluctuations due to effective lower dimensionality.

Contribution

It demonstrates that corners in ultrathin superconductors cause localized thermal fluctuations, highlighting the role of geometry in fluctuation behavior near the critical temperature.

Findings

Corners exhibit significantly larger thermal fluctuations than the interior.

Geometry-induced localization is due to lower effective dimensionality at corners.

Fluctuation behavior is strongly influenced by the structure's shape.

Abstract

Thermal fluctuations of the order parameter in an ultrathin triangular shaped superconducting structure are studied near $T_{c}$, in zero applied field. We find that the order parameter is prone to much larger fluctuations in the corners of the structure as compared to its interior. This geometry-induced localization of thermal fluctuations is attributed to the fact that condensate confinement in the corners is characterised by a lower effective dimensionality, which favors stronger fluctuations.