Material-dependent screening of Coulomb interaction in single-layer cuprates

To explore material dependence of cuprate superconductors, we evaluate effective Coulomb interactions for Hg1201 and Tl1201, where Tl1201 having a nearly half value of T_c of Hg1201 even at the optimal oxygen concentration. Although structures are similar for these superconductors, there is an apparent difference in the occupied levels below EF. The characteristic difference in the band structure is correlated with oxygen contents in the buffer layer. By using constrained Random Phase Approximation, effective screened Coulomb interactions are estimated for HgBa_2CuO_4 and TlBa_2CuO_5. The results shows that the value of screened on-site Coulomb interaction in Hg1201 is nearly twice bigger than that in Tl1201. In addition, The eigenvalues of the linearized Eliashberg equation of single-band Hubbard model within FLEX can show apparent difference in T_c. When we assume that the twice big screened on-site Coulomb for Hg, the material dependent T_c might be explained.