Abstract
The analysis of magnetization oscillations (de Haas – van 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, 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.
Original language | English |
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Pages (from-to) | 247-253 |
Number of pages | 7 |
Journal | Canadian Journal of Physics |
Volume | 100 |
Issue number | 4 |
DOIs | |
State | Published - 2022 |
Bibliographical note
Publisher Copyright:© 2022 The Author(s).
Keywords
- Condon domains
- De Haas – van Alphen oscillations
- Diamagnetic phase transitions
- Electron gas in quantizing magnetic fields
- Kink-soliton solutions
- Nonlinear partial different equations
ASJC Scopus subject areas
- General Physics and Astronomy