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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Nonlinear thermal and thermoelectric responses are shown to encode quantum geometry and satisfy relations parallel to the Wiedemann-Franz and Mott laws in systems with broken symmetries.
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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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Nonlinear thermal and thermoelectric transport from quantum geometry
Nonlinear thermal and thermoelectric responses are shown to encode quantum geometry and satisfy relations parallel to the Wiedemann-Franz and Mott laws in systems with broken symmetries.