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The low-energy electronic properties of the new superconductors BaPtSb andBaPtAs with an ordered honeycomb network are investigated in the normal phase,where the former compound is a candidate for time-reversal symmetry-breakingsuperconductors. By means of the first-principles calculation, we show thatthere exist two-dimensional cylinder-like Fermi surfaces around the kz axis andone outer spherelike Fermi surface around the K and K' points in bothcompounds, which are mainly composed of Pt 5d and Sb 5p/As 4p electrons. Weconstruct low-energy effective models, which are well described by using threebands consisting of two Pt 5d orbitals and one Sb 5p/As 4p orbital. Byevaluating susceptibilities using effective models, we find that dominantcontributions to those susceptibilities result from the outer spherelike Fermisurface. Whereas out-of-plane fluctuations are enhanced in both compounds inthe higher-temperature region, in-plane fluctuations become dominant in thevery low-temperature region in BaPtSb owing to a better nesting condition inthe k_z=0 plane from the outer spherelike Fermi surface. These fluctuationsyield instabilities to ordered states, such as superconductivity, and might beassociated with the occurrence of the superconducting state with time-reversalsymmetry breaking in BaPtSb.

Study on Susceptibilities of Superconductors BaPtSb and BaPtAs with Honeycomb Structure