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research
Functional derivatives of Tc for a two-band superconductor: application to MgB2
Authors
B. Mitrovic
Publication date
18 February 2004
Publisher
'Springer Science and Business Media LLC'
Doi
Cite
View
on
arXiv
Abstract
We address the question of how phonons of various frequencies contribute to the superconducting transition temperature
T
c
T_c
T
c
​
of a multi-band superconductor by considering the functional derivatives of
T
c
T_c
T
c
​
with respect to various intraband and interband electron-phonon coupling functions. A general scheme for computing such functional derivatives is developed. The proofs are given that the functional derivatives which are diagonal in band indices are linear in phonon energy
Ω
\Omega
Ω
at small
Ω
\Omega
Ω
, while the functional derivatives which are off-diagonal in band indices diverge at
Ω
\Omega
Ω
= 0 as 1/
Ω
\Omega
Ω
. The case of a two-band model for MgB
2
_{2}
2
​
is treated numerically.Comment: 6 pages, 4 figure
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Last time updated on 10/04/2020