Further test of modified pairing scheme used in overhaul of BCS theory

Xue-Heng Zheng, D George Walmsley

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A new electron pairing scheme, rectifying a fundamental flaw of the BCS theory, is tested ex- tensively. It postulates that superconductivity arises solely from residual umklapp electron-phonon scattering when it is not in competition for the same destination electron states with normal scat- tering. It reconciles a long standing theoretical discrepancy in the strength of the electron-phonon interaction between the normal and superconductive states. The new scheme is exploited to calcu- late the superconductive electron-phonon spectral density, α2F(ν), entirely on the basis of normal state electrical resistivity. This leads to first principles superconductive properties (zero tempera- ture energy gap and tunnelling conductance) in seven metals which turn out to be highly accurate when compared with known data; in other cases experimental verification is invited. The transition temperatures involved vary over almost three orders of magnitude: from 9.5K for niobium to 0.012K for tungsten.
Original languageEnglish
Pages (from-to)100-108
Number of pages9
JournalPhysica C: Superconductivity and its Applications
Volume506
Early online date18 Sep 2014
DOIs
Publication statusPublished - 15 Nov 2014

Keywords

  • superconductors, normal-umklapp frustration, electron pairing, first principles calculation

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