Properties of optical and acoustic phonons in diamond crystals

Autor:	N. S. Vasil’ev, Vladimir S. Gorelik
Rok vydání:	2011
Předmět:	Brillouin zone Physics Effective mass (solid-state physics) Condensed matter physics Phonon Condensed Matter::Superconductivity Dispersion relation Quasiparticle Physics::Optics Relativistic mechanics Invariant mass Inelastic neutron scattering Electronic Optical and Magnetic Materials
Zdroj:	Bulletin of the Lebedev Physics Institute. 38:255-262
ISSN:	1934-838X 1068-3356
DOI:	10.3103/s1068335611090028
Popis:	The dependence of the energy on the quasi-momentum of optical and acoustic phonons in diamond-type crystals is analyzed. It is shown that the dispersion relation of optical branches near the Brillouin zone center in such crystals can be derived based on the modified Klein-Gordon equation corresponding to quasiparticles (optical phonons) with negative effective mass. Analytical expressions are derived for dispersion curves of acoustic and optical branches in the entire Brillouin zone, based on the sinusoidal approximation. The obtained analytical dependences of dispersion relations are compared to the experimental results of the study of inelastic neutron scattering spectra in diamond crystals. The law of the coordinate and time transformation for optical phonons with negative effective rest mass when going to the new inertial reference frame, similar to Lorentz transformations in relativistic mechanics, is determined.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::39c5389d041e26411e042066060c8542 https://doi.org/10.3103/s1068335611090028 Zobrazit plný text záznamu Full text from SpringerLink