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Optical conductivity of a moderately disordered superconducting NbN film wasinvestigated by terahertz time-domain spectroscopy in external magnetic fieldapplied along the film plane. The film thickness of about 5 nm was comparablewith the coherence length, so vortices should not form. This was confirmed bythe fact that no marked difference between the spectra with terahertz electricfield set perpendicular and parallel to the external magnetic field wasobserved. Simultaneous use of Maxwell-Garnett effective medium theory and themodel of optical conductivity by Herman and Hlubina proved to correctlyreproduce the terahertz spectra obtained experimentally in a magnetic field ofup to 7 T. This let us conclude that the magnetic field tends to suppress thesuperconductivity, resulting in an inhomogeneous state where superconductingdomains are enclosed within a normal-state matrix. The scattering rate due topair-breaking effects was found to linearly increase with magnetic field.

Onset of superconductor-insulator transition in an ultrathin NbN film under in-plane magnetic field studied by terahertz spectroscopy