Probing electron-electron interaction in quantum Hall systems with scanning tunneling spectroscopy

Abstract

Using low-temperature scanning tunneling spectroscopy applied to the Cs-induced two-dimensional electron system (2DES) on p-type InSb(110), we probe electron-electron interaction effects in the quantum Hall regime. The 2DES is decoupled from p-doped bulk states and exhibits spreading resistance within the insulating quantum Hall phases. In quantitative agreement with calculations we find an exchange enhancement of the spin splitting. Moreover, we observe that both the spatially averaged as well as the local density of states feature a characteristic Coulomb gap at the Fermi level. These results show that electron-electron interaction effects can be probed down to a resolution below all relevant length scales.

supplementary movie in ancillary files

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• Tunneling spectroscopy of localized states of ${\mathrm{WS}}_2$ barriers in vertical van der Waals heterostructures
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• Spatially resolved Landau level spectroscopy of the topological Dirac cone of bulk-type Sb2Te3(0001): potential fluctuations and quasiparticle lifetime
• Tunneling into the localized phase near Anderson transitions with Coulomb interaction
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• Quasiparticle excitations in a one-dimensional interacting topological insulator: Application for dopant-based quantum simulation
• Scanning tunneling microscopy with InAs nanowire tips
• Probing the nodal structure of Landau level wave functions in real space
• Mesoscopic fluctuations of the local density of states in interacting electron systems
• Exact-exchange density functional theory of the integer quantum Hall effect: strict 2D limit
• Elastic precession of electronic spin states in interacting integer quantum Hall edge channels