A. B. Borisov, “Three-dimensional vortices in the Heisenberg model”, TMF, 2021, Volume 208, Number 3,Pages <nobr>471

This article is cited in 1 paper

Three-dimensional vortices in the Heisenberg model

A. B. Borisov^ab

^a Institute of Metal Physics UB RAS, Ekaterinburg, Russia
^b Yeltsin Ural Federal University, Ekaterinburg, Russia

Abstract: We find an exact solution of the three-dimensional Heisenberg model (an $SO(3)$ model in field theory) using a differential substitution. We obtain new types of three-dimensional vortex structures in this model.

Keywords: Heisenberg model, $SO(3)$ model, differential substitution, exact solutions, three-dimensional vortex structures, intersecting vortex filaments, structure of the inclusion type, bicylindrical coordinate system.

PACS: 02.30.Ik

MSC: 4A05,82D40

Received: 08.02.2021
Revised: 30.03.2021

DOI: 10.4213/tmf10074