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Imaging the diffusive-to-ballistic crossover of magnetotransport in graphene
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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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Imaging the transition from diffusive to Landauer resistivity dipoles
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.
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