Length and velocity gauges are shown to be equivalent for the adiabatic dc quantum geometric nonlinear conductivity, with Fermi sea terms canceling to leave a Fermi-surface contribution from the band-normalized quantum metric.
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Length--Velocity Gauge Equivalence of Quantum Geometric Nonlinear Conductivity
Length and velocity gauges are shown to be equivalent for the adiabatic dc quantum geometric nonlinear conductivity, with Fermi sea terms canceling to leave a Fermi-surface contribution from the band-normalized quantum metric.