Simulation of vertical Bloch lines non-reciprocal dynamics

An origin of experimentally registered vertical Bloch line (VBL) non-reciprocal dynamics in bubble garnets was examined. A model which describes symmetry breaking taking into account the existence of wall static microtilt at the VBL location was developed. Numerical calculation based on Slonczewki´s equations revealed that static wall tilt influences the character of energy dissipation processes in the vicinity of the VBL (and hence, VBL velocity). Depending on the direction of VBL motion nucleation of horizontal Bloch loops around VBL proves to be suppressed or facilitated. The calculated difference in VBL velocities for opposite directions of motion is about 10÷15%, which corresponds to the experimental data