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

Abstract

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 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 a new method to probe backscattering in topological 2D systems.

arXiv comment5 pages, 1 figure

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Cited by in corpus (7)

• Observation of terahertz-induced magnetooscillations in graphene
• Strong interminivalley scattering in twisted bilayer graphene revealed by high-temperature magnetooscillations
• Demonstration of high sensitivity of microwave-induced resistance oscillations to circular polarization
• Engineering topological phases in triple HgTe/CdTe quantum wells
• Observation of High Harmonics of the Cyclotron Resonance in Microwave Transmission of a High-Mobility Two-Dimensional Electron System
• Graphene's non-equilibrium fermions reveal Doppler-shifted magnetophonon resonances accompanied by Mach supersonic and Landau velocity effects
• Hall field-induced magneto-oscillations near charge neutrality point in graphene