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 characterized by a lower effective dimensionality, which favors stronger fluctuations.

• Received 16 June 2010

DOI:https://doi.org/10.1103/PhysRevB.82.054523