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.
(D-17) The Berry curvature for bandn in a two-band system is defined asΩn ab = i(Aa n¯nAb ¯nn−Ab n¯nAa ¯nn)
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Dissipation-Shaped Quantum Geometry in Nonlinear Transport
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.