BCS theory has to be overhauled: reassurance from numerical survival rate

X. H. Zheng; D. G. Walmsley

doi:10.1016/j.ssc.2016.03.026

BCS theory has to be overhauled: reassurance from numerical survival rate

X. H. Zheng, D. G. Walmsley

School of Mathematics and Physics

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Abstract

The BCS theory has conceptual and numerical difficulties. We have previously overhauled it with a new scheme of phonon-mediated electron pairing that can be expressed analytically in terms of an empirical pairing survival rate factor, S(q) = 0 or 1/2, depending on phonon momentum, q. Now we evaluate S(q) numerically entirely from experimental data on normal state electrical resistivity and on superconducting tunnelling conductance. The empirical and numerical S(q) are reassuringly close in aluminium and lead and particularly so in two other cases, niobium and tantalum.

Original language	English
Pages (from-to)	42-48
Number of pages	7
Journal	Solid state communications
Volume	237-238
Early online date	06 Apr 2016
DOIs	https://doi.org/10.1016/j.ssc.2016.03.026
Publication status	Published - Jul 2016

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BCS theory has to be overhauled
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abstract = "The BCS theory has conceptual and numerical difficulties. We have previously overhauled it with a new scheme of phonon-mediated electron pairing that can be expressed analytically in terms of an empirical pairing survival rate factor, S(q) = 0 or 1/2, depending on phonon momentum, q. Now we evaluate S(q) numerically entirely from experimental data on normal state electrical resistivity and on superconducting tunnelling conductance. The empirical and numerical S(q) are reassuringly close in aluminium and lead and particularly so in two other cases, niobium and tantalum.",

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AU - Walmsley, D. G.

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N2 - The BCS theory has conceptual and numerical difficulties. We have previously overhauled it with a new scheme of phonon-mediated electron pairing that can be expressed analytically in terms of an empirical pairing survival rate factor, S(q) = 0 or 1/2, depending on phonon momentum, q. Now we evaluate S(q) numerically entirely from experimental data on normal state electrical resistivity and on superconducting tunnelling conductance. The empirical and numerical S(q) are reassuringly close in aluminium and lead and particularly so in two other cases, niobium and tantalum.

AB - The BCS theory has conceptual and numerical difficulties. We have previously overhauled it with a new scheme of phonon-mediated electron pairing that can be expressed analytically in terms of an empirical pairing survival rate factor, S(q) = 0 or 1/2, depending on phonon momentum, q. Now we evaluate S(q) numerically entirely from experimental data on normal state electrical resistivity and on superconducting tunnelling conductance. The empirical and numerical S(q) are reassuringly close in aluminium and lead and particularly so in two other cases, niobium and tantalum.

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DO - 10.1016/j.ssc.2016.03.026

M3 - Article

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VL - 237-238

SP - 42

EP - 48

JO - Solid state communications

JF - Solid state communications

ER -

BCS theory has to be overhauled: reassurance from numerical survival rate

Abstract

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