Magnetic toroidal monopoles in periodic crystals are quantified as a geometric quantity from relativistic polarization responses to magnetic field gradients, using Berry curvatures in extended parameter space.
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In a V-shaped 1D chain the nonmagnetic magnetoelectric response peaks near apex angle 0.6π because geometry induces an effective spin-orbit term whose angular factor sinθ sin(θ/2) matches Kubo-formula numerics.
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Magnetic toroidal monopoles from relativistic polarization responses to magnetic field gradients
Magnetic toroidal monopoles in periodic crystals are quantified as a geometric quantity from relativistic polarization responses to magnetic field gradients, using Berry curvatures in extended parameter space.
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Shape dependence of Edelstein and magnetoelectric effects in the V-shaped model
In a V-shaped 1D chain the nonmagnetic magnetoelectric response peaks near apex angle 0.6π because geometry induces an effective spin-orbit term whose angular factor sinθ sin(θ/2) matches Kubo-formula numerics.