The quantum-metric-induced intrinsic longitudinal response vanishes identically because intrinsic currents are dissipationless, independent of band details and to all orders in nonlinearity.
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In d-wave altermagnets the leading intrinsic anomalous thermal Hall effect appears at third order in temperature gradient and is governed by a nonlinear thermal Berry-connection polarizability that encodes the quantum metric.
The dissipation-independent nonlinear Hall conductivity is not universal but decomposes into a geometric contribution recovering the quantum metric and a novel kinetic contribution that depends on the system-bath coupling.
Photon momentum enables symmetry breaking and bulk nonlinear photocurrents in centrosymmetric PdTe, with angle and thickness dependence confirming access to interband quantum geometry.
C3-symmetric MOFs map via analytical downfolding to star- and honeycomb-lattice models whose gapped Dirac cones produce Berry-curvature hot spots that enable tunable nonlinear Hall transport through synthetic pathways.
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