Landau-Lifshitz magnetodynamics as a Hamilton model: Magnons in an instanton background

Igor V. Ovchinnikov, Kang L. Wang

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


To take full advantage of the well-developed field-theoretic methods, Magnonics needs a yet-existing Lagrangian formulation. Here, we show that Landau-Lifshitz magnetodynamics is a member of the covariant-Schrödinger- equation family of Hamilton models and apply the covariant background method arriving at the Ginzburg-Landau Lagrangian formalism for magnons in an instanton background. Magnons appear to be nonrelativistic spinless bosons, which feel instantons as a gauge field and as a Bose condensate. Among the examples of the usefulness of the proposition is the recognition of the instanton-induced phase shifts in magnons as the Berry phase and the interpretation of the spin-transfer-torque generation as a ferromagnetic counterpart of the Josephson supercurrent.

Original languageEnglish
Article number024410
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number2
Publication statusPublished - 2010 Jul 13

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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