Properties of anisotropic s-wave superconductivity in MgB2

Earlier this year a new type of high-temperature superconductivity has been reported in MgB2 with a transition temperature of 39 K. In a recent paper we proposed a simple BCS model with an anisotropic s-wave order parameter which accounts for the available thermodynamic and scanning tunneling microscopy data obtained from polycrystalline palets of MgB2. In this work, we further investigate the physical consequences of this theory by calculating the temperature dependence of the thermal conductivity, the nuclear spin relaxation rate, and the angular dependence of the upper critical field.