Calculation of intrinsic coercivity of magnetic domain walls in perfect crystals

The critical field strength at which a classical domain wall moves through a perfect ferromagnetic crystal of simplified structure is calculated as a function of the ratio between anisotropy energy and ferromagnetic coupling energy , taking into account the discrete nature of the spins. When approaches intrinsic wall pinning becomes appreciable with critical fields approaching the anisotropy field when . For , the wall has a thickness of one atomic distance and thus resembles a ferroelectric wall.