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物理学报. 1981, 30(6): 783-793.
doi: 10.7498/aps.30.783.
McMillan Tc公式的解析推导(Ⅰ)——μ*=0情形
- 收稿日期: 1980-11-15
- 刊出日期: 1981-03-05
摘要: 作者在μ*=0情形,从Eliashberg方程解析地导出如下的Tc公式:Tc=αωlogexp{-b((1+cλ)/λ)},式中α=2γ/π,b=c=1;Inγ=C=0.5772是Euler常数。这个Tc公式只有在Tc=0.36/α(k)以下才是正确的,α是个大于1并随材料而异的常数。我们推测,当Tc超过上述范围后,Tc公式的函数结构很可能不同于McMillan Tc公式,至少α,b和c等参量不再是些不依赖于材料的常数了。
English Abstract
AN ANALYTIC DERIVATION FOR THE MCMILLAN Tc FORMULA (I)——CASE OF μ*= 0
- Received Date:
15 November 1980
- Published Online:
05 March 1981
Abstract: In the case of μ* = 0, the following Tc formula is derived analytically from the Eliashberg equation Tc=αωlogexp{-b((1+cλ)/λ)}, where, α = 2γ/π, b = c =1 and In γ = C = 0.5772 which is the Euler constant.The formula obtained by the authors holds only when Tc is less than 0.36/ α (K), where a is a constant larger than 1 and differs from one material to another. We conjecture, it is very likely that, when Tc is larger than 0.36/a, the functional structure of the Tc formula differs from that of McMillan's or at least the parameters a, b, and c are no longer constants independent of materials.
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