Gauge fields in the theory of condensed matter and helicity conservationстатья
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Дата последнего поиска статьи во внешних источниках: 16 сентября 2020 г.
Аннотация:A model of quantum hydrodynamics of a charged particle in an external electromagnetic field is considered, taking into account the spin-orbit interaction and the influence of Zeeman energy, based on the application of the introductionformalism non-Abelian Yang-Mills gauge fields. It is shown that non-Abelian gauge fields generate forces acting on the spin and spin current. It is shown that the helicity of a particle moving on the background of such fields, that give forcesdepending on the spin of the particle, is not conserved. A two-fluid model of quantum hydrodynamics is built systems of electrons in spin-up and spin-down states moving against the background of the magnetic structure of a skyrmionwith a nontrivial topology. A system of equations of continuity, momentum balance, evolution of spin density and the conservation of helicity for electron fluxes has been proved in the framework of the developed two-fluid model.