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Imaging the diffusive-to-ballistic crossover of magnetotransport in graphene

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arxiv 2409.19468 v1 pith:SSRWLXDU submitted 2024-09-28 cond-mat.mes-hall cond-mat.mtrl-sci

Imaging the diffusive-to-ballistic crossover of magnetotransport in graphene

Zachary J. Krebs , Wyatt A. Behn , Keenan J. Smith , Margaret A. Fortman , Kenji Watanabe , Takashi Taniguchi , Pathak S. Parashar , Michael M. Fogler
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Victor W. Brar
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classification cond-mat.mes-hall cond-mat.mtrl-sci
keywords carrierschangesfieldfieldslocalpotentialelectrochemicalelectrostatic
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Scanning tunneling potentiometry (STP) is used to probe the local, current-induced electrochemical potential of carriers in graphene near circular electrostatic barriers in an out-of-plane magnetic field ranging from 0 to 1.4 T. These measurements provide nanometer-resolved information about the local motion of carriers, revealing significant changes in carrier dynamics with increasing field strength. At low magnetic fields the electrochemical potential displays a spiral-like pattern, while at high fields it exhibits distinct changes at particular radii. We show that the observed behavior indicates a transition from diffusive to ballistic transport. Additionally, the sharp changes in the measured potential profile at high fields result from the `spirograph' motion of carriers, which creates a local enhancement of the Hall field one cyclotron diameter away from the semiclassical turning point near the electrostatic barrier.

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Cited by 2 Pith papers

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  1. Diffusive and hydrodynamic magnetotransport around a density perturbation in a two-dimensional electron gas

    cond-mat.mes-hall 2026-01 unverdicted novelty 7.0

    Current around a power-law density inhomogeneity in 2D electron gas is exponentially suppressed within a no-go radius scaling with B, exhibiting spiraling patterns and a rotated resistivity dipole whose angle depends ...

  2. Imaging the transition from diffusive to Landauer resistivity dipoles

    cond-mat.mes-hall 2024-12 unverdicted novelty 7.0

    STM potentiometry on Bi films shows resistivity dipole amplitude scaling linearly with hole size at small defects then saturating at large defects, allowing extraction of Fermi wavevector and mean free path.