Abstract
Many years and great effort have been spent constructing the microscopic model for the room temperature multiferroic BiFeO3. However, earlier models implicitly assumed that the cycloidal wavevector q was confined to one of the three-fold symmetric axes in the hexagonal plane normal to the electric polarization. Because recent measurements indicate that q can be rotated by a magnetic field, it is essential to properly treat the anisotropy that confines q at low fields. We propose that the anisotropy energy −K3S6sin6θcos6ϕ confines the wavevectors q to the three-fold axis ϕ=0 and ±2π/3 within the hexagonal plane with θ=π/2.
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