The interplay between charge, spin, and heat currents in magnetic nano systems subjected to a temperature gradient has lead to a variety of novel effects and promising applications studied in the fast-growing field of spincaloritronics. Here we explore the magnetothermoelectrical properties of an individual magnetic domain wall in a permalloy nanowire. In thermal gradients of the order of few K/µm along the long wire axis, we find a clear magneto-Seebeck signature due to the presence of a single domain wall. The observed domain wall magneto-Seebeck effect can be explained by the magnetization-dependent Seebeck coefficient of permalloy in combination with the local spin configuration of the domain wall.Electronic transport coefficients in ferromagnetic materials are spin-dependent 1 enabling important spintronics applications 2 . This observation also holds for magnetothermoelectric (or spincaloritronic) phenomena 3-5 , driven by thermal gradients 6-9 . In a thermal gradient, the temperature difference ∆T between two contacts gives rise to a thermopower V T = −S∆T with S being the material's Seebeck coefficient. Spin-dependent Seebeck coefficients have been observed in various nanomagnetic systems like thin films 10,11 , multilayers 12 , tunnel junctions 13-15 , and nanowires 16,17 . In the latter, magnetization reversal often occurs by the nucleation and propagation of a single magnetic domain wall (DW) enabling promising applications [18][19][20] . Also a DW can interact with a thermal gradient
21-23with prospects for thermally driven DW motion 24-27 or nanoscale magnetic heat engines 28 . However, the fundamental thermoelectrical properties of an individual magnetic DW have not been investigated yet.In our experiments we use L-shaped permalloy (Py) nanowires with a notch (see Fig. 1A and supplementary material for details). The L's corner allows a controlled nucleation of a DW while the notch allows pinning a moving DW between the electrical probes. The two probes are contacting the Py wire from the top for resistance and thermopower measurements. Two additional Pt strips located at a distance of 0.5 µm and 1.5 µm from the Py nanowire serve as resistive thermometer and heater, respectively. The magnetic behavior of the system is characterized by two-wire resistance measurements as a function of magnetic field at a DC current of 600 µA. In a first step, the magnetization of the entire wire is rotated from the longitudinal ( ) to the transversal (⊥) direction by a magnetic field applied at φ = 90• , i.e. along the y-direction (note the definition of coordinates in Fig. 1A). As expected for a system dominated by the anisotropic magnetoresistance (AMR), the measurement shows a bell-shaped curve ( Fig. 2A) with resistance being decreased by the field of either polarity by ∆R = R − R ⊥ . We find R = 289.8 Ω at remanence and R ⊥ = 288.5 Ω at maximum transversal field and hence a two-wire AMR ratio ∆R/R ⊥ = 0.45 %. In a second step, we study the AMR contribution of a single DW. For this purpose we apply a 120 mT field...