Critical Fluctuations of a Type-II Superconductor in a Magnetic Field

Ginzburg's theory of critical fluctuations is used to calculate the specific heat of a type-II superconductor in a magnetic field near the upper critical field. A scaling law for the specific heat is found, and the scaling temperature is given in terms of measurable quantities. Some distance from ${T}_{c}$ the fluctuation contribution is proportional to ${|T\ensuremath{-}{T}_{c}|}^{\ensuremath{-}\frac{3}{2}}$, with known coefficients. The dependence on $\ensuremath{\kappa}$ is explored. The diamagnetic susceptibility should have the same temperature dependence as the specific heat.

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