Penetration depth and tunneling studies in very thin epitaxial NbN films
Anand Kamlapure, Mintu Mondal, Madhavi Chand, Archana Mishra, John, Jesudasan, Vivas Bagwe, L. Benfatto, Vikram Tripathi, Pratap Raychaudhuri

TL;DR
This study examines how the superconducting properties of epitaxial NbN films change with thickness, revealing BCS behavior in thicker films and KTB transition signatures in the thinnest ones.
Contribution
It provides detailed measurements of penetration depth and energy gap evolution in NbN films down to 3nm, highlighting the transition from BCS to KTB behavior as films become ultrathin.
Findings
Tc decreases from 15.87K to 9.16K with decreasing thickness
Penetration depth lambda(0) increases as thickness decreases
Evidence of Kosterlitz-Thouless-Berezinski transition in the thinnest films
Abstract
We investigate evolution of the magnetic penetration depth and superconducting energy gap in epitaxial NbN films using a low frequency mutual inductance technique and tunneling spectroscopy using a low temperature scanning tunneling microscope (STM). The superconducting transition temperature (Tc) for films grown under optimal growth conditions decreases monotonically from 15.87K to 9.16K as the film thickness is decreased from 50nm to 3nm. With decrease in film thickness delta(0) monotonically decreases, whereas lambda(0) monotonically increases. We observe that Tc, lambda(o) and delta(0) are well described by Bardeen-Cooper-Schrieffer (BCS) theory in all films other than the two thinnest ones where we see evidence of the Kosterlitz-Thouless-Berezinski (KTB) transition close to Tc.
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