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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Extending the wave-packet ansatz for Bloch electrons to include interband contributions and applying the time-dependent variational principle yields leading-order nonadiabatic corrections to the Lagrangian, including an energy-gap-renormalized quantum metric that recasts dynamics as geodesic motion.
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Absence of Quantum-Metric-Induced Intrinsic Longitudinal Response
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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Nonadiabatic Wave-Packet Dynamics: Nonadiabatic Metric, Quantum Geometry, and Gravitational Analogy
Extending the wave-packet ansatz for Bloch electrons to include interband contributions and applying the time-dependent variational principle yields leading-order nonadiabatic corrections to the Lagrangian, including an energy-gap-renormalized quantum metric that recasts dynamics as geodesic motion.