AbstractIn this paper, we report Cooper Pairs Distribution function $${D}_{cp}(\omega ,{T}_{c})$$
D
cp
(
ω
,
T
c
)
for bcc Niobium under pressure. This function reveals information about the superconductor state through the determination of the spectral regions for Cooper-pairs formation. $${D}_{cp}(\omega ,{T}_{c})$$
D
cp
(
ω
,
T
c
)
is built from the well-established Eliashberg spectral function and phonon density of states, calculated by first-principles. $${D}_{cp}(\omega ,{T}_{c})$$
D
cp
(
ω
,
T
c
)
for Nb suggests that the low-frequency vibration region $$\left(\omega <6 \,{\text{meV}}\right)$$
ω
<
6
meV
is where Cooper-pairs are possible. From $${D}_{cp}(\omega ,{T}_{c})$$
D
cp
(
ω
,
T
c
)
, it is possible to obtain the $${N}_{cp}$$
N
cp
parameter, which is proportional to the total number of Cooper-Pairs formed at a temperature $${T}_{c}$$
T
c
. The $${N}_{cp}$$
N
cp
parameter allows an approach to the understanding of the Nb $${T}_{c}$$
T
c
anomalies, measured around 5 and 50 GPa.
Cooper Pairs Distribution function for bcc Niobium under pressure from first-principles
