Determination of the phonon density of states from the thermodynamic functions of a crystal: Nickel, palladium, and platinum

1979 ◽  
Vol 22 (8) ◽  
pp. 903-905
Author(s):  
V. A. Korshunov
Keyword(s):  
Density Of States ◽  
Thermodynamic Functions ◽  
Phonon Density ◽  
Phonon Density Of States

Direct determination of the phonon density of states inβ−Sn

2000 ◽  
Vol 61 (22) ◽  
pp. R14881-R14884 ◽  
Author(s):  
A. Barla ◽  
R. Rüffer ◽  
A. I. Chumakov ◽  
J. Metge ◽  
J. Plessel ◽  
...  
Keyword(s):  
Density Of States ◽  
Direct Determination ◽  
Phonon Density ◽  
Phonon Density Of States

scholarly journals Cooper Pairs Distribution function for bcc Niobium under pressure from first-principles

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
G. I. González-Pedreros ◽  
J. A. Camargo-Martínez ◽  
F. Mesa
Keyword(s):  
Distribution Function ◽  
Density Of States ◽  
First Principles ◽  
Low Frequency ◽  
Cooper Pairs ◽  
Phonon Density ◽  
Phonon Density Of States ◽  
Low Frequency Vibration ◽  
Eliashberg Spectral Function

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.

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