Driven Heisenberg magnets: nonequilibrium criticality, spatiotemporal chaos and control

Abstract

We drive a d-dimensional Heisenberg magnet using an anisotropic current. The continuum Langevin equation is analysed using a dynamical renormalization group and numerical simulations. We discover a rich steady-state phase diagram, including a critical point in a new nonequilibrium universality class, and a spatiotemporally chaotic phase. The latter may be 'controlled' in a robust manner to target spatially periodic steady states with helical order.