Gauge and emergent electromagnetic fields for moving magnetic topological solitons
Departamento de Física de Materiales, Universidad del País Vasco, UPV/EHU - 20018 San Sebastián, Spain and IKERBASQUE, the Basque Foundation for Science - 48013 Bilbao, Spain
Received: 15 December 2015
Accepted: 4 April 2016
We apply the general concept of non-Abelian gauge fields for the description of magnetic soliton excitations. We show that the component of the gauge field potential along the soliton local magnetization (Abelian part of the gauge potential) determines the dynamics of spin fluctuations over the soliton background in a ferromagnet. The assumption that the gauge field is a pure gauge allows calculating the gauge field components and finding simple expressions for the emergent electromagnet fields related to the soliton motion. The gauge field results in a soliton-magnon interaction leading to renormalization of the soliton and magnon dynamics. The presented approach allows reaching a deeper understanding of the relationship between field theory and condensed-matter magnetism.
PACS: 75.30.Ds – Spin waves / 75.78.Fg – Dynamics of domain structures / 11.15.-q – Gauge field theories
© EPLA, 2016