Modeling Subsurface Charge Accumulation Images of a Quantum Hall Liquid

Abstract

Subsurface Charge Accumulation imaging is a cryogenic scanning probe technique that has recently been used to spatially probe incompressible strips formed in a two-dimensional electron system (2DES) at high magnetic fields. In this paper, we present detailed numerical modeling of these data. At a basic level, the method produces results that agree well with the predictions of models based on simple circuit elements. Moreover, the modeling method is sufficiently advanced to simulate the spatially resolved measurements. By comparing directly the simulations to the experimentally measured data, we can extract quantitatively local electronic features of the 2DES. In particular, we deduce the electron density of states inside the incompressible strips and electrical resistance across them.

11 pages, 3 figures

References in corpus (8)

• Coherent Branched Flow in a Two-Dimensional Electron Gas
• Subsurface charge accumulation imaging of a quantum Hall liquid
• Scanned Potential Microscopy of Edge and Bulk Currents in the Quantum Hall Regime
• Topographic Mapping of the Quantum Hall Liquid using a Few-Electron Bubble
• Imaging of Low Compressibility Strips in the Quantum Hall Liquid
• Direct observation of the charging of a 2D electron gas through an incompressible strip in the quantum Hall regime
• Electrostatics of Inhomogeneous Quantum Hall Liquid
• Spatial structure of an incompressible Quantum Hall strip

Cited by in corpus (5)

• Real-space imaging of quantum Hall effect edge strips
• Fluctuations and Entanglement spectrum in quantum Hall states
• Scanning-probe spectroscopy of semiconductor donor molecules
• Self-consistent equilibrium of a two-dimensional electron system with a reservoir in a quantizing magnetic field: Analytical approach
• Direct observation of micron-scale ordered structure in a two-dimensional electron system