| 超导临界温度理论(Ⅲ) |
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| 引用本文： | 蔡俊道,吉光达,吴杭生,蔡建华,龚昌德.超导临界温度理论(Ⅲ)[J].物理学报,1979,28(3):393-405. |
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| 作者姓名： | 蔡俊道 吉光达 吴杭生 蔡建华 龚昌德 |
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| 作者单位： | (1)南京大学; (2)中国科学技术大学; (3)中国科学院物理研究所 |
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| 摘 要： | 本文定出超导临界温度Tc级数公式(1)的前几项系数。对于形式为α2F(ω)=(λω)/2a1δ(ω-ω1)+(1-a1)δ(ω-ω2)]的双δ型有效声子谱及若干具体材料的谱,将级数公式计算的Tc与Allen-Dynes公式(以下简称A-D公式)及Eliashberg方程的数值解作了比较。计算表明,当级数(1)收敛时,级数公式计算的结果较A-D公式更接近于数值解。此外,本文还给出了一个近似的Tc级数公式,得到了估计该Tc级数收敛半径的方法,并计算了若干材料的收敛半径值。因此,可估计级数公式(1)的适用范围。
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| 收稿时间： | 1978-05-19 |
THEORY OF THE SUPERCONDUCTING CRITICAL TEMPERATURE (Ⅲ) |
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| CAI JUN-DAO,JI GUANG-DA,WU HANG-SHENG,CAI JIAN-HUA and GONG CHANG-DE.THEORY OF THE SUPERCONDUCTING CRITICAL TEMPERATURE (Ⅲ)[J].Acta Physica Sinica,1979,28(3):393-405. |
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| Authors: | CAI JUN-DAO JI GUANG-DA WU HANG-SHENG CAI JIAN-HUA and GONG CHANG-DE |
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| Abstract: | We have determined the first several coefficients of the series formula (1) for superconducting Tc. For the double-σ spectrum as α2F(ω)=λω/2a1δ(ω-ω1)+(1-a1)δ(ω-ω2)] and that of several real materials, we have compared the Tc calculated from the series formula, the Allen-Dynes formula and the numerical solution of the Eliashberg Equation, respectively. The results suggest that when the series is convergent, the calculated results by using the series formula is a better approximation of the numerrieal solution than that from the A-D formula.We have also given an approximate Tc series formula, obtained a method to estimate the convergent radius of the Tc series and calculated the convergent radius for several materials. Therefore we may estimate the region in which the series formula (1) is valid. |
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