Numerical simulations of the influence of a traveling magnetic field, generated by an internal heater-magnet module, on liquid encapsulated Czochralski crystal growth

O. Klein¹ - Ch. Lechner^1,2 - P.-É. Druet¹ - P. Philip³ - J. Sprekels¹ - Ch. Frank-Rotsch⁴ - F.-M. Kießling⁴ - W. Miller⁴ - U. Rehse⁴ - P. Rudolph⁴

¹ Weierstrass-Institute for Applied Analysis and Stochastics (WIAS),Mohrenstraße 39, 10117 Berlin, Germany
² Vienna University of Technology, Resselgasse 3, 1040 Vienna, Austria
³ Department of Mathematics, Ludwig-Maximilians University (LMU) Munich, Theresienstrasse 39, 80333 Munich, Germany
⁴ Leibniz Institute for Crystal Growth (IKZ), Max-Born-Straße 2, 12489 Berlin, Germany

Abstract
We present numerical simulations of liquid encapsulated Czochralski crystal growth of GaAs under the influence of a travelling magnetic field. As described in Rudolph 2008 (Proceedings for ICCG-15), the magnetic field is generated by an internal heater--magnet module, replacing the usual heater units inside the pressure chamber in the growth arrangement. We consider two possible realizations of the heater--magnet and numerically investigate the influence of the Lorentz force on the melt, e.g., the damping of the temperature oscillations in the Taylor cell below the crystal. This work has been conducted in the project \kristmag\ framework, see http://www.kristmag.com/, which has been awarded with the Innovationspreis (innovation prize) Berlin-Brandenburg 2008. Figs 8, Refs 10.