Umklapp scattering and electron pairing cutoff in BCS superconductors

dc.creatorZheng, X. H.
dc.creatorWalmsley, D. G.
dc.date2003-08-18
dc.date.accessioned2026-07-07T02:52:58Z
dc.date.available2026-07-07T02:52:58Z
dc.descriptionIn a superconductor electrons form pairs for which the end states of normal and umklapp scattering may overlap. This cuts electron pairing off at a phonon frequency, $ω_c$, low compared with the Debye frequency, $ω_D$. Using this insight, correct values of $2Δ/k_BT_c$ (average error 8.9%) for 12 superconductive metals, including Hg and Pb, are achieved from simple BCS formalism with an average $ω_c/ω_D$ of 0.148: Landau's idea of a Fermi liquid may cover strong-coupling superconductors. The cancellation between normal and umklapp scattering may be more important than a strong electron-phonon interaction in reaching a high critical temperature $T_c$.
dc.identifierhttps://arxiv.org/abs/cond-mat/0308350
dc.identifierhttp://arxiv.org/abs/cond-mat/0308350
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22036
dc.subjectSuperconductivity
dc.titleUmklapp scattering and electron pairing cutoff in BCS superconductors
dc.typetext

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