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

L. A. Bakaleinikov, A. Gordon

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)247-253
Number of pages7
JournalCanadian Journal of Physics
Issue number4
StatePublished - 2022

Bibliographical note

Publisher Copyright:
© 2022 The Author(s).


  • 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


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