Scaling of transition temerature and CuO2 plane buckling in the cuprate superconductors
Abstract
Recently it is seenNature,that both Tc and the buckling of the CuO2 planes goes through a maximum at the same doping level. We show that only for optimal doping concentration the Fermi surface touches the M(0,π) point in the BZ, where the matrix element for interlayer pair tunneling amplitude is largest, so that the gain in delocalization energy by tunneling(in pairs) along the c axis is largest. Buckling of the planes on the other hand modulates the separation between the planes and thereby modulates the interlayer pair tunneling amplitude. That is why both Tc and buckling angle(Oxygen atom displacement out of the plane) scales the same way with doping concentration. We have calculated Tc and buckling angle for various doping concentration. The agreement with experiment is remarkably good. We also point out the possible reason for large(about 1 percent) change of the buckling mode phonon frequency, accross the transition temperature. scattering
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