Macro- And Micor-Simulations For A Sublimation Growth Of Sic Single Crystals.

Juergen Geiser , Stephan Irle

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 10 pp.

MSC 2000

35K25 General theory of higher-order, parabolic equations

35K20 Boundary value problems for second-order, parabolic equations

Abstract
The numerous technical applications in electronic and optoelectronic devices, such as lasers, diodes, and sensors demand high-quality silicon carbide (SiC) bulk single crystal for industrial applications. We consider a SiC crystal growth process by physical vapor transport (PVT), called modified Lely method. We deal with a model for the micro and macro-scale of the sublimation processes within the growth apparatus. The macroscopic model is based on the heat equation with heat sources due to induction heating and nonlocal interface conditions, representing the heat transfer by radiation. The microscopic model is based on the quantum chemical potential and is computed with molecular dynamics. We study of the temperature evolution in the apparatus and reflect the growth behavior of the microscopic model. We present results of some numerical simulations of the micro- and macro-model of our growth apparatus.