  We theoretically study the equilibrium and dynamic properties of nanoscale
magnetic tunnel junctions (MTJs) and magnetic wires, in which an electric field
controls the magnetic anisotropy through spin-orbit coupling. By performing
micromagnetic simulations, we construct a rich phase diagram and find that, in
particular, the equilibrium magnetic textures can be tuned between Neel and
Bloch domain walls in an elliptical MTJ. Furthermore, we develop a
phenomenological model of a quasi-one-dimensional domain wall confined by a
parabolic potential and show that, near the Neel-to-Bloch-wall transition, a
pulsed electric field induces precessional domain-wall motion which can be used
to reverse the chirality of a Neel wall and even depin it. This domain-wall
motion controlled by electric fields, in lieu of applied current, may provide a
model for ultra-low-power domain-wall memory and logic devices.
