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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
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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 4 Pith papers

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

  1. A Hierarchy of Superconductivity and Topological Charge Density Wave States in Rhombohedral Graphene

    cond-mat.mes-hall 2025-07 conditional novelty 7.0 of 10

    In rhombohedral hexalayer graphene, superconductivity is stabilized by an out-of-plane magnetic field and coexists with re-entrant integer quantum Hall states attributed to a bubble-like charge density wave.

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

    cond-mat.mes-hall 2025-12 conditional novelty 6.0 of 10

    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.

  3. Sliding-tuned Quantum Geometry in Moir\'e Systems: Nonlinear Hall Effect and Quantum Metric Control

    cond-mat.mes-hall 2025-09 conditional novelty 6.0 of 10

    Interlayer sliding in multi-twist moiré systems acts as a tuning knob for Berry curvature and quantum metric, enabling a sliding-driven nonlinear Hall effect and quantum-metric control for testing fractional Chern ins...

  4. Weak localization and antilocalization corrections to nonlinear transport: a semiclassical Boltzmann treatment

    cond-mat.mes-hall 2025-10 conditional novelty 5.0 of 10

    Antilocalization corrections to the Boltzmann distribution can reverse the sign of the quadratic conductivity in a trigonally-warped single-valley model (at α(0) = −5/(11τ)), while localization-branch sign changes req...

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