Derives gauge-invariant decomposition of second-order dc nonlinear conductivity into nonlinear Drude (τ²), Berry-curvature-dipole (τ), and intra/interband quantum-metric-dipole (τ⁰) responses in velocity-gauge Keldysh formalism for tight-binding systems.
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Second-order dc conductivity in the velocity-gauge Keldysh formalism: gauge-invariant decomposition into nonlinear Drude, Berry-curvature-dipole, and quantum-metric responses
Derives gauge-invariant decomposition of second-order dc nonlinear conductivity into nonlinear Drude (τ²), Berry-curvature-dipole (τ), and intra/interband quantum-metric-dipole (τ⁰) responses in velocity-gauge Keldysh formalism for tight-binding systems.