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超导临界温度理论(Ⅰ)
引用本文:吴杭生,蔡建华,龚昌德,吉光达,蔡俊道.超导临界温度理论(Ⅰ)[J].物理学报,1977,26(6):509-520.
作者姓名:吴杭生  蔡建华  龚昌德  吉光达  蔡俊道
摘    要:本文求出了Eliashberg方程在T=Tc时的解,得到了下面的临界温度级数表示式:Tc0*)(λ〈ω2〉)1/2{1+1/λα1*)〈ω4>/〈ω2>2+1/λ221*)〈ω6>/〈ω2>322*)〈ω4>2/〈ω2>4) +1/λ331*)〈ω8>/〈ω2>432*)(〈ω4>〈ω6>)/〈ω2>5)+α33*)〈ω4>3/〈ω2>6+…},其中α0*),α1*)等仅是μ*的函数。新的Tc公式表明了,Tc不仅依赖于λ、μ*和〈ω2〉,而且依赖于有效声子谱α2F(ω)的各级矩〈ω2n〉。

收稿时间:6/1/1977 12:00:00 AM

THEORY OF THE SUPERCONDUCTING CRITICAL TEMPERATURE (Ⅰ)
WU HANG-SHENG,CAI JIAN-HUA,GONG CHANG-DE,JI GUANG-DA and CAI JUN-DAO.THEORY OF THE SUPERCONDUCTING CRITICAL TEMPERATURE (Ⅰ)[J].Acta Physica Sinica,1977,26(6):509-520.
Authors:WU HANG-SHENG  CAI JIAN-HUA  GONG CHANG-DE  JI GUANG-DA and CAI JUN-DAO
Abstract:In this paper, we have solved the Eliashberg equation for T=Tc, obtaining a series expression for the superconducting critical temperature Tc0*)(λ〈ω2〉)1/2{1+1/λα1*)〈ω4>/〈ω2>2+1/λ221*)〈ω6>/〈ω2>322*)〈ω4>2/〈ω2>4) +1/λ331*)〈ω8>/〈ω2>432*)(〈ω4>〈ω6>)/〈ω2>5)+α33*)〈ω4>3/〈ω2>6+……}, where α0*), α1*) etc. depend upon μ* only. This new Tc formula shows that Tc is determined not only by λ, 〈ω2〉 and μ*, but also by the various moments 〈ω2n〉 of the effective phonon spectrum.
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