| Summary: | We develop a theory of nonlinear response to an electric field of two-dimensional (2D) fermions with topologically nontrivial wave functions characterized by the Berry phase Φ_{n}=nπ,n=1,2,.... In particular, we find that owing to the 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 those at even n: Their amplitude decays with the electric field and their extrema are phase shifted by a quarter cycle. The theory unifies the cases of graphene (n=1) and graphite bilayer (n=2) with the case of conventional 2D electron gas (n=0) and suggests another method to probe backscattering in topological 2D systems.
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