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arXiv 1105.5337cond-mat.supr-con
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120 GPa压力下钙的超导电性

Superconductivity of calcium under the pressure at 120 GPa

R. Szczęśniak, A. P. Durajski

摘要:

分析了120 GPa压力下钙的超导态性质。通过使用虚轴Eliashberg方程,它已被证明,库仑赝势达到等于0.215的高值。在所考虑的情况下,临界温度不能用Allen-Dynes公式正确描述,应使用修改后的表达式计算。本文还得到了实轴上Eliashberg方程的精确解。在此基础上指出,电子-电子相互作用的有效势对于低于或等于最大声子频率的频率是有吸引力的。然后,计算无量纲参数2Δ(0)/ k_{B} T_{C} =4.10。在最后一步中,已经证明,电子有效质量与裸电子质量的比率是高的,并且在临界温度达到其最大值,等于2.36。

英文摘要:

The properties of the superconducting state in calcium under the pressure at 120 GPa were analyzed. By using the imaginary axis Eliashberg equations it has been shown, that the Coulomb pseudopotential reaches the high value equal to 0.215. In the considered case, the critical temperature is not properly described by the Allen-Dynes formula and it should be calculated with an use of the modified expression. In the paper the exact solutions of the Eliashberg equations on the real axis were also obtained. On this basis it was stated, that the effective potential of the electron-electron interaction is attractive for the frequencies lower or equal to the maximum phonon frequency. Then, the dimensionless parameter 2Δ(0)/k_{B}T_{C}=4.10 was calculated. In the last step it has been proven, that the ratio of the electron effective mass to the bare electron mass is high and reaches its maximum equal to 2.36 for the critical temperature.

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