Purely linear response of the quantum Hall current to space-adiabatic perturbations
Purely linear response of the quantum Hall current to space-adiabatic perturbations
Using recently developed tools from space-adiabatic perturbation theory, in particular the construction of a non-equilibrium almost stationary state, we give a new proof that the Kubo formula for the Hall conductivity remains valid beyond the linear response regime. In particular, we prove that, in quantum Hall systems and Chern insulators, …