Effect of Berry Phase on Nonlinear Response of Two-dimensional Fermions

We develop a theory of nonlinear response to an electric field of two-dimensional (2D) fermions with topologically non-trivial wave functions characterized by the Berry phase \Phi_n = n \pi, n = 1,2,... In particular, we find that owing to suppression of backscattering at odd n Hall field-induced resistance oscillations, which stem from elastic electron transitions between Hall field-tilted Landau levels, are qualitatively distinct from...