An approximate scheme to determine the vibratory density of states in a quasi-harmonic solid

✍ Scribed by M.A. Grado-Caffaro; M. Grado-Caffaro

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 114 KB
• Volume: 406
• Category: Article
• ISSN: 0921-4526
• DOI: 10.1016/j.physb.2010.10.049

✦ Synopsis

In a new and realistic conception of solids, an analytical approach is presented to find the phonon density of states in a quasi-harmonic one-dimensional solid by starting from the fact that a solid with strong interatomic forces can be regarded as an atomic array of quantum anharmonic oscillators under a Morse potential. In fact, our quasi-harmonic approximation is derived by assuming a large enough solid with an involved anharmonic parameter as a sufficiently small quantity. In this context, a mathematical relationship between the above parameter and the matrix element relative to oscillator's strength is obtained.