Umklapp scattering of pairs in BCS superconductivity theory
X. H. Zheng, D. G. Walmsley
TL;DR
This paper extends BCS superconductivity theory to include umklapp scattering, revealing that the coexistence of normal and umklapp scattering can hinder the formation of superconducting pairs.
Contribution
It introduces a modified BCS framework accounting for umklapp scattering and demonstrates its impact on superconductivity.
Findings
Coexistence of normal and umklapp scattering frustrates superconductivity
Umklapp scattering affects pairing mechanisms in BCS theory
Extension of BCS theory to include umklapp processes
Abstract
The BCS theory of superconductivity is extended to recognize pairing of electrons by both normal and umklapp scattering. Application of the variational approach shows that coexistence of normal and umklapp scattering frustrates superconductivity.
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