Skyrmionic Spin Seebeck Effect

Skyrmionic Spin Seebeck Effect via Dissipative Thermomagnonic Torques

We derive thermomagnonic torque and its ``β -type'' dissipative correction from the stochastic Landau-Lifshitz-Gilbert equation. We show that this torque is important for describing temperature gradient induced motion of skyrmions in helical magnets while ``β -type'' correction plays an essential role in generating transverse Magnus force. We propose to detect such skyrmionic motion by employing the transverse spin Seebeck effect geometry.

a) The magnon current induced by temperature gradient exerts spin torque on magnetization which leads to skyrmion motion in the direction of the hot region with an additional Hall-like side motion. An additional non-magnetic layer, such as Pt, can be used in order to detect the spin pumping resulting from skyrmionic motion, i.e. via the inverse spin Hall effect. b) Spin Seebeck effect geometry can be used for detection of the Hall-like motion of skyrmions. Due to mostly out-of-plane magnetization configuration the ordinary spin Seebeck effect should be suppressed.