Abstract
This paper demonstrates sensitivity of the nonlinear response of two dimensional fermions to their Berry phase through the suppression of backscattering in magnetic field. In particular, it shows that massless Dirac fermions would exhibit Hall field-induced resistance oscillations with a characteristic phase shift, offering a new method to probe backscattering in topological two dimensional systems.
Highlights
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 n = nπ, n = 1, 2
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
It lies at the origin of Klein tunneling [7] and its implications for the resistivity of graphene-based n-p-n junctions [8,9,10]. It removes a sharp cusp of static polarizability of degenerate carriers at doubled Fermi wave number [11], leading to the enhanced spatial decay of Friedel oscillations [12]. Another well-known effect which crucially depends on backscattering is Hall field-induced resistance oscillations (HIROs) [13,14,15] which emerge in the differential resistivity r of a 2D electron gas (2DEG) subjected to an elevated current density j and perpendicular magnetic field B
Summary
1 = π , is responsible for peculiar Landau quantization manifesting itself in the phase-shifted Shubnikov–de Haas oscillations (SdHOs) and unconventional quantum Hall effect [1,2,3,4] This makes the Dirac fermions in graphene fundamentally distinct from both the conventional 2D electron gas (2DEG) in quantum wells ( 0 = 0) and topologically nontrivial fermions in graphite bilayers ( 2 = 2π ) [5,6]. It removes a sharp cusp of static polarizability of degenerate carriers at doubled Fermi wave number (characteristic for conventional 2DEG and graphite bilayers) [11], leading to the enhanced spatial decay of Friedel oscillations [12] Another well-known effect which crucially depends on backscattering is Hall field-induced resistance oscillations (HIROs) [13,14,15] which emerge in the differential resistivity r of a 2DEG subjected to an elevated current density j and perpendicular magnetic field B.
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