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Observation of giant nonlinear Hall conductivity in Bernal bilayer graphene

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arxiv 2411.11156 v2 pith:LTIWMMRE submitted 2024-11-17 cond-mat.mes-hall cond-mat.mtrl-scicond-mat.str-el

classification cond-mat.mes-hallcond-mat.mtrl-scicond-mat.str-el
keywords nonlineartransportconductivityhallregimebernalbilayereffect
verification ladder T0 review T1 audit T2 compute T3 formal
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In a system of two-dimensional electrons, a combination of broken symmetry, interactions, and nontrivial topology can conspire to give rise to a nonlinear transport regime, where electric current density scales as the square of electric field. This regime has become a venue for exciting discoveries such as the nonlinear Hall effect and diode-like nonreciprocal transport. However, interpretation of experimental data is challenging in the nonlinear regime as DC transport is described by a rank-3 conductivity tensor with 6 free parameters. Here, we resolve this challenge by analytically solving for the nonlinear potential distribution across the disk sample for an arbitrary linear and nonlinear conductivity tensors. This allows us to unambiguously extract all components of the nonlinear tensor from experimental measurement. Using this novel tool, we identify giant nonlinear Hall effect in Bernal bilayer graphene. Our methodology provides the first systematic framework for interpreting nonlinear transport and uncovers a new route towards understanding quasi-2D materials.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Inter-band coherence effects in disordered crystals: beyond the non-crossing approximation

    cond-mat.mes-hall 2026-06 unverdicted novelty 6.0 of 10

    Extends density-matrix kinetic theory beyond non-crossing approximation to fourth-order disorder, yielding extrinsic tau^0 contributions to anomalous Hall conductivity in the 2D Dirac model.

  2. Modulation of quantum geometry and its coupling to pseudo-electric field by dynamic strain

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    Oscillatory strain modulates the Berry curvature dipole and produces a pseudo-electric field in bilayer graphene stacks, detected as Hall voltages at mixed strain and current frequencies.

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    cond-mat.mes-hall 2025-05 unverdicted novelty 5.0 of 10

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