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- W2063710833 abstract "We examine the onset of superconductivity in the surface region of a metal. Surface effects are particularly important in systems with a short bulk coherence length ${ensuremath{xi}}_{0}$. We show that, to the accuracy of the calculation, the surface transition temperature ${mathit{T}}_{mathit{c}mathit{S}}$ equals the bulk transition temperature ${mathit{T}}_{mathit{c}mathit{B}}$ if the electron-electron interaction is of the standard BCS form, i.e., a single attractive square well, extending up to some critical energy ${mathrm{ensuremath{omega}}}_{0}$ much smaller than the Fermi energy ${mathrm{ensuremath{varepsilon}}}_{mathit{F}}$. If one takes into account, in addition, the repulsive part of the interaction extending beyond ${mathrm{ensuremath{omega}}}_{0}$ up to energies of order ${mathrm{ensuremath{varepsilon}}}_{mathit{F}}$, then one may have ${mathit{T}}_{mathit{c}mathit{S}}$>${mathit{T}}_{mathit{c}mathit{B}}$ in certain cases, although, due to restrictions imposed on the parameter values by various physical conditions, the relative increase of ${mathit{T}}_{mathit{c}}$ is very small, typically ${10}^{mathrm{ensuremath{-}}3}$, at least in the weak coupling limit. However, we also find a considerable gap enhancement, of order 20%, near the surface which could be of interest for critical-current measurements. Therefore we suggest an experimental reexamination of systems with short ${ensuremath{xi}}_{0}$, i.e., superconducting degenerate semiconductors and the new high-${mathit{T}}_{mathit{c}}$ oxides in confined geometries where the surface-to-volume ratio is non-negligible." @default.
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- W2063710833 title "Onset of surface superconductivity" @default.
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- W2063710833 doi "https://doi.org/10.1103/physrevb.41.11033" @default.
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