Theory of Dipole-Exchange Spin Waves in a Ferromagnetic Nanotube in the Presence of a Thermoelectrically Induced Spin-Transfer Torque
DOI:
https://doi.org/10.63527/1607-8829-2026-2-15-39Keywords:
spin wave, nanomagnetism, dipole-exchange theory, ferromagnetic nanotube, uniaxial magnetic anisotropy, spin-polarized current, thermoelectricity, spin transfer, Seebeck effectAbstract
A theoretical study of dipole–exchange spin waves in a conducting ferromagnetic nanotube subjected to a longitudinal temperature gradient is presented. The temperature gradient via the Seebeck effect generates an electric current, which becomes spin-polarized in the ferromagnet and gives rise to a spin-transfer torque acting on the magnetization. The magnetization dynamics is described within the Landau–Lifshitz–Gilbert framework augmented by the Zhang–Li torque terms corresponding to adiabatic and nonadiabatic spin transport. An analytical dispersion relation for spin waves in a thin-walled nanotube with uniaxial anisotropy is derived, taking into account both exchange and dipolar interactions. It is shown that the thermoelectrically induced spin-polarized current leads to a Doppler-like shift of the spin-wave spectrum and modifies the effective damping. A critical temperature gradient is obtained at which the nonadiabatic torque compensates the intrinsic Gilbert damping, resulting in the onset of spin wave generation. Numerical estimates for Permalloy nanotubes demonstrate that the effect can be significant for experimentally accessible parameters. The results reveal a direct coupling between thermoelectric charge transport and spin-wave dynamics in curved magnetic nanostructures, highlighting the potential of ferromagnetic nanotubes as elements of spin-caloritronic and thermoelectric devices.
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