Upper critical field in the gauge model

Abstract

An analysis of the upper critical field in the gauge model is presented. It is shown that a `strange metallic' normal state has implications for the pairing transition even if the resulting superconducting state is essentially conventional. The gauge model is considered as one example of an unconventional normal state and the optimally doped and overdoped cases are examined. In the optimally doped regime $B_{c2}$ rises linearly with decreasing temperature to an enhanced value at $T=0$ relative to BCS. In the overdoped regime the gauge model predicts Fermi-liquid behavior but there is a weakly temperature dependent interaction. This can give rise to some upward curvature of the upper critical field and an enhanced zero temperature value.