Volume dependence of the superconducting transition temperature of aluminum calculated from a first-principles potential

1988 ◽  
Vol 38 (14) ◽  
pp. 9495-9499 ◽  
Author(s):  
L. F. MagañBa ◽  
G. J. Vázquez
1994 ◽  
Vol 50 (18) ◽  
pp. 13778-13785 ◽  
Author(s):  
Charles C. Kim ◽  
A. R. Drews ◽  
E. F. Skelton ◽  
S. B. Qadri ◽  
M. S. Osofsky ◽  
...  

1981 ◽  
Vol 59 (3) ◽  
pp. 309-314 ◽  
Author(s):  
M. D. Whitmore

Use is made of the pseudopotential determined by Dagens, Rasolt, and Taylor to calculate from first principles all the microscopic phonon and electron–phonon properties necessary for the superconducting transition temperature of aluminum, Tc, for zero pressure and for volume changes up to −10%. After fitting the Coulomb pseudopotential parameter μ* at zero pressure, Tc is calculated both by solving the Eliashberg gap equations on the imaginary axis, and by employing the approximate formulae of McMillan and of Leavens. The resulting pressure dependence of Tc is unsatisfactory. One source of error appears to be an insufficient pressure-induced shift of the phonon frequencies, indicating a limitation on the use of these pseudopotentials that is not widely appreciated. However, this is not believed to be the only difficulty and other possibilities are briefly discussed.


1994 ◽  
Vol 49 (18) ◽  
pp. 13075-13081 ◽  
Author(s):  
Charles C. Kim ◽  
E. F. Skelton ◽  
S. B. Qadri ◽  
V. M. Browning ◽  
M. S. Osofsky ◽  
...  

1974 ◽  
Vol 52 (8) ◽  
pp. 678-686 ◽  
Author(s):  
J. Schratter ◽  
D. Llewelyn Williams

A study of the Knight shift has been carried out on a single crystal of thallium. The isotropic Knight shift decreases with increasing temperature, showing a nonlinear variation which is most pronounced between 50 and 150 K. This behavior is correlated with the anomalous pressure dependence of the superconducting transition temperature at low pressure. From the superconducting data on pure Tl and Tl–Hg alloys, we extract the volume dependence of the electronic density of states, and use it to derive the temperature dependence of the Knight shift. The results agree with the observed data.


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