Scanning Tunneling Potentiometry, Charge Transport and Landauer's Resistivity Dipole from the Quantum to the Classical Transport Regime

Abstract

Using the non-equilibrium Keldysh formalism, we investigate the spatial relation between the electro-chemical potential measured in scanning tunneling spectroscopy, and local current patterns over the entire range from the quantum to the classical transport regime. These quantities show similar spatial patterns near the quantum limit, but are related by Ohm's law only in the classical regime. We demonstrate that defects induce a Landauer residual resistivity dipole in the electro-chemical potential with the concomitant spatial current pattern representing the field lines of the dipole.

5 pages, 5 figures

References in corpus (7)

• Imaging Magnetic Focusing of Coherent Electron Waves
• Unexpected features of branched flow through high-mobility two-dimensional electron gases
• Imaging and controlling electron transport inside a quantum ring
• Imaging Electron Wave Functions Inside Open Quantum Rings
• Imaging Coulomb Islands in a Quantum Hall Interferometer
• Temperature and voltage measurement in quantum systems far from equilibrium
• Crossover from quantum to classical transport

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