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  • Letter

Berezinskii-Kosterlitz-Thouless phase transition in nanoporous films of superconducting NbN

A. Verma1,*, R. Vedin2,*, J. Jesudasan3, J. Lidmar2,†, I. Maccari2,4,‡, and S. Bose1,§

  • *These authors contributed equally to this work.
  • †Contact author: jlidmar@kth.se
  • ‡Contact author: imaccari@phys.ethz.ch
  • §Contact author: sangita@cbs.ac.in

Phys. Rev. B 112, L220501 – Published 1 December, 2025

DOI: https://doi.org/10.1103/p1t4-hst3

Abstract

We present a study of the Berezinskii-Kosterlitz-Thouless (BKT) transition in mildly disordered NbN nanoporous (NP) films. The measured superfluid stiffness, Js, is found to be much lower than that predicted considering a reduced geometric area. For a 5 nm thick NP film, a distinct BKT transition is observed. By fitting the experimental data via the BKT renormalization-group equations, we show how both Js and the vortex-core energy, μ, decrease in the presence of nanopores. The variation of Js and μ is also reproduced theoretically via Monte Carlo numerical simulations on a 2D diluted XY model. Our results show that nanopore geometries effectively enhance the 2D nature of the superconducting films, increasing the parameter space to explore the BKT physics while offering a pathway to systematically control the two energy scales, Js and μ, that govern the vortex physics in these systems.

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