Impedance and domain wall mass determination in cylindrical wire with circular anisotropy

• Single domain wall impedance versus frequency was measured in CoFeSiB wire.
• This dependence exhibits a single maximum in frequency range from 100 kHz to 10 MHz.
• Theoretical model shows that the maximum corresponds to the wall natural frequency.
• Domain wall mass was experimentally determined from this natural frequency.

A study of single magnetic domain wall contribution to impedance due to its oscillation in the intermediate frequency region (100 kHz to a few MHz) is presented for a domain wall between circular domains. A simple theoretical model of the wall trapped in a quadratic potential well is proposed, for which the possible influence of skin effect is tested using a scalar permeability model. From this model, for parameters of the Co68.2Fe4.3Si12.5B15 wire used in the experiment, it follows that the frequency dependence of domain wall contribution to impedance exhibits a single maximum at the frequency of an ac current equal to the natural frequency ω0 of the domain wall moving in the quadratic potential well. Experimental dependence confirmed the existence of this maximum, and it made it possible to obtain the value of natural frequency ω0. From the theoretical model it follows that this parameter depends on inertial domain wall mass. Additional experimental procedures are proposed to measure parameters of the quadratic potential well in which the wall is trapped, and the value of domain wall mass per unit area 1.64×10−9kgm−2 was obtained.