3D global analysis of CZ-Si growth in a transverse magnetic field with various crystal growth rates

A series of computations were performed for Czochralski silicon crystal growth in a transverse magnetic field with different crystal growth rates by using a recently developed three-dimensional global model. The effects of the transverse magnetic field and crystal growth rate on the melt-crystal interface were numerically investigated. It was found that the interface shape is three-dimensional when the crystal is not rotating, while it becomes nearly two-dimensional when the crystal is rotating, even at a low rotation rate. The temperature gradient in the axial direction at the melt-crystal interface increases with increase in crystal growth rate except near the crystal edge, where it changes oppositely.