London Penetration Depth as a Test of Order Parameter Symmetry in Sodium Cobaltate Superconductors

Temperature dependence of the magnetic field penetration depth λ was calculated for water intercalated sodium cobaltate superconductor Na x CoO 2⋅y H 2 O. Assuming that the system is in the chiral d+id–wave superconducting state, it was shown that the shifting of the excitation spectrum nodal points off the normal phase Fermi surface due to variation of the sodium content x changes the functional form of the temperature dependence of λ−2 from exponential to linear in the low temperatures region. It is argued that this change in the functional form of T–dependence of the λ−2 can serve as a proof for the chiral symmetry of the superconducting order parameter in the sodium cobaltate.