Low-Temperature Upper-Critical-Field Anomalies in Clean Superconductors

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Abstract
We interpret the upper-critical-field anomalies observed in some high-temperature superconductors as resulting from the proximity to a zero-temperature quantum critical point. We estimate the shape of the phase boundary between the normal and the superconducting phase by modeling the zero-temperature critical point as the second-order end point of the first-order melting line of the vortex lattice.
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