Spin Texture Explorer

Momentum-space spin orientation patterns on Fermi surfaces — from simple helical to exotic hedgehog and antivortex textures

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Spin texture encodes topological information: winding number W = (1/2π)∮ dφ, skyrmion number Q = (1/4π)∫ s·(∂s/∂kx × ∂s/∂ky) d²k. Color = spin direction angle, arrow = in-plane component.