ИСТИНА

The Berry gauge field associated with adiabatic quantum evolution represents a very interesting area of research, especially for the describing of non-relativistic fermions coupled to a skyrmion texture. We construct the quantum hydrodynamics model (QHD), that describes the electron-skyrmion interactions, with separate description of spin-up and spin-down electrons as two different fluids. The quantum effects, represented by the quantum Bohm potential, are taken into account. We investigate the electron gas moving in a smooth magnetic texture, where the magnetic moments adjust to the local magnetization direction of skyrmion, and derive the equations of motion and evolution of spin density for two fluids of electrons in the emergent gauge fields. Applying the separated spin evolution quantum hydrodynamics to the two-dimensional electron gas, traveling on the background of Berry gauge field in plane samples, located in external magnetic field, we predict a wave of a new kind in the electron gas.