Fig. 3

Spin texture in a domain wall and the signals they generate. a Red and blue circles represent Mn atoms in adjacent planes. Arrows represent spins. A θ = π domain (at the center), a θ = 0 domain (at the periphery) and the wall separating them (in between). For the sake of illustration, the thickness of the wall is assumed to be only five unit cells. Along a radial direction, adjacent equivalent spins tilt by a constant angle. A zoom on the wall along x-axis shows that the domain wall can has a θ = ±π/2 spin configuration. b Domain walls can have either +π/2 or −π/2 configurations. This could correspond to a clockwise or an anticlockwise rotation of spins as one moves from the center toward the periphery. c The orientation of the spins at the center of domain wall would explain the finite planar Hall effect (PHE) and the transverse magnetization (TM). The sign of these signals (their odd parity or even parity with respect to magnetic field in a hysteresis loop from a θ = π domain to θ = 0 and back) depends on the chirality of the domain wall. The diagrams represent a field sweep (from one domain to another passing by a specific type of domain wall). In each case the four possible sequences are identified with a colored arrow. In the two plots sketched below each diagram, the same color is used to represent the expected curves for the PHE and TM response. The left-side diagram and plots refer to a case in which rotation keeps the same sense (either clockwise or anticlockwise). As a consequence, the peaks have opposite signs for opposite sweep orientations. The right-side diagram and plots refer to a case in which the orientation of spin remains the same (either +π/2 or −π/2), Therefore, the peaks have the same sign for both sweep orientations