用局域密度泛函线性丸盒轨道原子球近似超元胞法计算(Ba1-xKx)BiO3的Hopfield常数与Tc随组分x的变化

用局域密度泛函线性丸盒轨道原子球近似(LDF-LMTO-ASA)超元胞法计算(Ba_1-xK_x)BiO₃特定组分x的电子结构,其中x=0.0,0.5,1.0三种组分由扩大1倍的元胞计算;x=0.25和0.75两种组分由扩大4倍的元胞计算,所得能带参数总态密度TDOS(E_F)、分波态密度PDOS(E_F)以及自洽晶体势V^t(r),结合由实验测定的Θ_D≈210K,按McMillan强耦合公式以及Gaspari-Gyorffy近似,分别计算各原子的Hopfield常数η_t,电声子耦合常数λ以及超导转变温度T_c随组分x的变化。计算结果λ≈1而T_c最大约10K,且随x变化缓慢。与实验结果对比似乎暗示,在(Ba_1-xK_x)BiO₃中除电声子机制外,随组分变化的复杂结构相变亦将起重要的作用。关键词：

A SUPERCELL LDA-LMTO-ASA CALCULATION OF COMPOSI-TION DEPENDENCE OF HOPFIELD CONSTANT AND Tc IN Ba1-xKxBiO3

The electronic structure of (Ba_1-xK_x)BiO₃ has been calculated by using a supercell LDA-LMTO-ASA method at some compositions. The calculation was performed by doubling unit-cell for x=0.25, 0.5 and 1.0 and by quadruple unit-cell for x = 0.25 and 0.75. The band parameters, total density of states TDOS (E_F), partial DOS PDOS (E_F) and self-consistent potential V^t(r), obtained from LMTO calculation were combined with the experimental Debye temperature Θ_D From this, the Hopfield constant η_t, electron-phonon coupling constant λ and superconducting transition temperature T_c and its x-dependence were evaluated by the McMillan theory and Gaspari-Gyorffy approximation. It was found that the λ≈1 and the maximum T_c≈ 10K which is a slowly varying function of composition x. Our results exhibit a significant difference between the traditional theory and experiment and imply a mechanism which would be related to the composition dependent structure transformation besides the BCS methanism.