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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2006
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/cond-mat/0607832 |
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- Two simple bounds on the $T_c$ of conventional, phonon-mediated superconductors are derived within the framework of Eliashberg theory in the strong coupling regime. The first bound is set by the total electron-phonon coupling available within a material given the hypothetical ability to arbitrarily dope the material. This bound is studied by deriving a generalization of the McMillan-Hopfield parameter, $\widetildeη(E)$, which measures the strength of electron-phonon coupling including anisotropy effects and rigid-band doping of the Fermi level to $E$. The second bound is set by the softening of phonons to instability due to strong electron-phonon coupling with electrons at the Fermi level. We apply these bounds to some covalent superconductors including MgB$_2$, where $T_c$ reaches the first bound, and boron-doped diamond, which is far from its bounds.