First-Principles Calculation of the Real-Space Order Parameter and Condensation Energy Density in Phonon-Mediated Superconductors

2015 ◽  
Vol 115 (9) ◽  
Author(s):  
A. Linscheid ◽  
A. Sanna ◽  
A. Floris ◽  
E. K. U. Gross
Keyword(s):  
Energy Density ◽  
First Principles ◽  
Order Parameter ◽  
Real Space ◽  
First Principles Calculation ◽  
Condensation Energy ◽  
The Real ◽  
Space Order

First-Principles Calculation of Force Constants and Full Phonon Dispersions

1992 ◽  
Vol 291 ◽  
Author(s):  
Siqing Wei ◽  
M. Y. Chou
Keyword(s):  
First Principles ◽  
Phonon Dispersion ◽  
Local Density ◽  
Real Space ◽  
Force Constants ◽  
First Principles Calculation ◽  
Dynamical Matrix ◽  
Phonon Dispersion Curves ◽  
Super Cell ◽  
Silicon And Germanium

ABSTRACTWe calculated the real-space force constants and full phonon dispersion curves for elemental semiconductors (silicon and germanium) under the local-density approximation with the Hellmann-Feynman forces. The force constants are obtained through super- cell calculations for planar displacements in three different symmetry directions. From these real-space force constants the dynamical matrix for an arbitrary wave vector in the Brillouin zone can be constructed. The procedure is simple in concept and requires no complicated computer programing. It is also possible in principle to handle the anharmonic effects.

FIRST PRINCIPLES CALCULATION OF THE PHONON SPECTRA OF SOLIDS

1981 ◽  
Vol 42 (C6) ◽  
pp. C6-625-C6-627 ◽  
Author(s):  
P. E. Van Camp ◽  
V. E. Van Doren ◽  
J. T. Devreese
Keyword(s):  
First Principles ◽  
First Principles Calculation ◽  
Phonon Spectra
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