Size Effects in Thin Superconducting Indium Films

Superconducting Thin Film in a Magnetic Field—Theory of Nonlocal and Nonlinear Effects. I. Specular Reflection

“…Neglected terms entail a maximum error of 2%. Toxen's procedure 13,14 leads to a more complex definition of X d , but the final value is shown to agree with ours within the same accuracy for d<d c . This explains the success of his fits 20 R. S. Thompson and A. Baratoff, Phys.…”

“…[12][13][14][15][16] Toxen's successful fits to his experimental data on indium films 13 ' 14 were obtained by using the GL results with X replaced by an effective value adjusted to yield the correct weak-field susceptibility determined by (1.7), assuming specular reflection. A similar spirit occurs in Hauser and Helfand's work.…”

“…15 Extensive thin-film calculations based on (1.8) and (1.9) were performed by Liniger and Odeh, 16 assuming diffuse scattering at the boundaries. The most complete computations 13,14,16 were made using Pippard's kernel.…”

Thickness dependence of the superconducting critical temperature in heavily doped Si:B epilayers

“…8 The importance of dimensionality has been further emphasized by the discovery of superconductivity at the interface of insulating oxides, 9 and the possible existence of high temperature superconductivity in single unit cell layers has been reported recently for FeSe deposited on SrTiO 3 . 10 However, other studies rather suggested a rapid suppression of T c with the sample thickness (d) in this later system (for d < 300 nm 11 ) and, except a few worth noting exceptions such as Al 12 or In, 13 superconductivity is generally destroyed in reduced dimensionality. [14][15][16] The critical thickness below which T c is suppressed can then vary from several hundreds of nm down to a few lattice constants, and understanding the interplay between quantum coherence, disorder, and electronic interactions in those confined geometries remains a major challenge.…”

“…Indeed, it has then been shown by Gurevich and Pashitskii 32 that the strain associated to the presence of dislocations can lead to large fluctuations of T c . It has also been suggested that this strain could be responsible for the increase of T c observed in thin In films 13 and that misfit dislocations could even lead to the formation of a metallic inversion layer in semiconducting monochalcogenide heterostructures (PbTe/PbS, PbTe/PbSe, and PbTe/YbS). This inversion layer then turns out to be superconducting at an unexpectedly high critical temperature (up to ∼6 K for the largest misfit values).…”