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.
Curie, Sur la sym´ etrie dans les ph´ enom` enes physiques, sym´ etrie d’un champ ´ electrique et d’un champ magn´ etique, J
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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.