Dynamic peculiarities of interphase boundaries and domain walls for non-spin domains

Abstract

The analysis of magnetization oscillations (de Haas-Wan Alphen effect-dHvA effect) and features of the Fermi surface shape in three (3D)- and two-dimensional (2D) metals shows that the dynamic phenomena-the dynamics of domain walls and interphase boundaries during diamagnetic phase transitions-are described by a new nonlinear partial differential equation. The equation is a result of the inclusion of the case of multiple extremal cross sections of the Fermi surface in these metals. Our consideration indicates the possibility of the appearance of metastable non-spin domains (Condon domains) and first-order phase transitions to the ordered phase in the regime of dHvA oscillations for the two-frequency case. Sine-Gordon, Klein-Gordon, double sine-Gordon, the time-dependent Ginzburg-Landau equations and the telegraph equation are limiting cases of the derived equation. We show that particular moving kink-soliton solutions of the equation describe traveling wave fronts being moving domain walls and interphase boundaries in the Condon domain phase.