Local-phonon model of strong electron-phonon interactions in A 15 compounds and other strong-coupling superconductors

Local-phonon model of strong electron-phonon interactions in A 15 compounds and other strong-coupling superconductors
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A 15 化合物和其他强耦合超导体中强电子-声子相互作用的局域声子模型

DOI:
10.1103/physrevb.29.6165
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发表时间:
1984
期刊:
影响因子:
3.7
通讯作者:
P. Anderson
P. Anderson
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Clare C. Yu;P. Anderson

文献摘要

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我们提出了一个单原子与无自旋电子的费米气体强相互作用的模型。我们发现,电子为原子提供了有效的双势垒势。在高温下电声子耦合系数较大的情况下,电声子耦合系数随温度降低而向下重整化。该模型与泡利磁化率和电阻率随温度变化的实验关系以及对Mattheissen定律的违反是一致的。它为观察到的马氏体相变如此之小提供了可能的解释。我们发现,对米格达尔定理的违反意味着从双势垒的一个极小值到另一个极小值的原子跃迁之间的时间延迟相互作用。
We propose a model in which a single atom interacts strongly with a Fermi gas of spinless electrons. We find that the electrons provide an effective double-well potential for the atom. The electron-phonon coupling $\ensuremath{\Lambda}$ is renormalized downward with decreasing temperature, provided that $\ensuremath{\Lambda}$ is large at high temperatures. The model is consistent with the experimental temperature dependence of the Pauli susceptibility and the resistivity as well as with the violation of Mattheissen's rule. It provides a possible explanation for why the observed martensitic transition is so small. We find that the violation of Migdal's theorem implies time-retarded interactions between hops of the atom from one minimum of the double well to the other.