Superfluid Hydrodynamics of an Electron Gas in a Superstrong Magnetic Field

Abstract

We derive the equations of hydrodynamics of a fully polarized electron gas placed in a strong magnetic field. These equations reveal the existence of solitons - immobile or propagating domain wall-like defects whose plane is perpendicular to the field direction. The solitons are used to construct weakly excited states, and novel nonuniform persistent current states of the system.