Phonon density of states from the experimental heat capacity: an improved distribution function for solid aluminium using an inverse framework

2014 ◽  
Vol 20 (8) ◽  
Author(s):  
Éderson D’M. Costa ◽  
Nelson H. T. Lemes ◽  
Márcio O. Alves ◽  
João P. Braga
Keyword(s):  
Heat Capacity ◽  
Distribution Function ◽  
Density Of States ◽  
Phonon Density ◽  
Phonon Density Of States ◽  
Experimental Heat

The Phonon Density of States of Solids from the Experimental Heat Capacity

2012 ◽  
Vol 7 (3) ◽  
pp. 102-113
Author(s):  
Viktor Naumov ◽  
Alimbek Tagaev ◽  
Anatoliy Musikhin
Keyword(s):  
Experimental Data ◽  
Heat Capacity ◽  
Temperature Interval ◽  
Density Of States ◽  
Iteration Process ◽  
Phonon Density ◽  
Phonon Density Of States ◽  
Experimental Heat ◽  
The Difference ◽  
The Right

The new method of determining the spectrum phonon density of states g(ω) from the experimental data in the heat capacity C(T), obtained in the wide temperature interval is suggested. At the primary stage g(ω) is described in symptomless ones (near zero and limit frequencies). The parameters can be determined from the C(T) curve. So the obtained zero coming for the phonon density of states g(ω) is made by the iteration process when the redistribution in the frequencies of the vibrating modes of the zero coming is done. The iteration process is connected with the difference reduction in the made and experimental heat capacity and managed by the redistribution of the vibrating modes. The method is viewed for the number of the model spectra with different degree of complication. The obtained results show the possibility of the singling out three peaks in g(ω) with the right description of their form. The phonon density of states for aluminum is determined and the comparison with the investigation results represented in the list of literature is done

scholarly journals Phonon density of states and heat capacity ofLa3−xTe4

2009 ◽  
Vol 80 (18) ◽  
Author(s):  
O. Delaire ◽  
A. F. May ◽  
M. A. McGuire ◽  
W. D. Porter ◽  
M. S. Lucas ◽  
...  
Keyword(s):  
Heat Capacity ◽  
Density Of States ◽  
Phonon Density ◽  
Phonon Density Of States

Electron heat capacity and moments of phonon density of states of HoBa2Cu3O7−δ

1996 ◽  
Vol 262 (1-2) ◽  
pp. 143-148 ◽  
Author(s):  
V.N. Naumov ◽  
G.I. Frolova ◽  
E.B. Amitin ◽  
V.E. Fedorov ◽  
P.P. Samoilov
Keyword(s):  
Heat Capacity ◽  
Density Of States ◽  
Phonon Density ◽  
Phonon Density Of States ◽  
Electron Heat Capacity ◽  
Electron Heat

Phonon density of states and heat capacity of CdIn2S4

1983 ◽  
Vol 115 (2) ◽  
pp. K75-K78 ◽  
Author(s):  
M. A. Aldzhanov ◽  
A. M. Aliev ◽  
R. K. Veliev ◽  
K. K. Mamedov ◽  
M. I. Mekhtiev ◽  
...  
Keyword(s):  
Heat Capacity ◽  
Density Of States ◽  
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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