Numerical Model for Bridgman-Stockbarger Crystal Growth with a Magnetic Field

摘要

This paper presents a model for the unsteady species transport for the growth of doped semiconductor crystals during the vertical Bridgman-Stockbarger process with a steady axial magnetic field. This dilute species transport depends on the convective and diffusive species transport of the dopant. This convective species transport is driven by buoyant convection in the melt, which produces compositional nonuniformities in both the melt and the crystal. This transient model predicts the distribution of species in the entire crystal grown in a steady axial magnetic field. The present study presents results of concentration in the crystal and in the melt at several different stages during crystal growth.