Energy Stability of Branching in the Scanning Gate Response of Two-Dimensional Electron Gases with Smooth Disorder
arXiv:1904.07777 · doi:10.1103/PhysRevB.100.155435
Abstract
The branched pattern typically observed through the scanning gate microscopy (SGM) of two dimensional electron gases in the presence of weak, smooth disorder has recently been found to be robust against a very large shift in the Fermi energy of the electron gas. We propose a toy model, where the potential landscape reduces to a single localized feature, that makes it possible to recast the understanding of branch formation through the effect of caustics in an appropriate set of classical trajectories, and it is simple enough to allow for a quantitative analysis of the energy and spatial dependence of the branches. We find the energy stability to be extremely generic, as it rests only upon the assumptions of weak disorder, weak scattering, and the proportionality of the SGM response to the density of classical electron trajectories. Therefore, the robustness against changes of the electron's Fermi energy remains when adopting progressively realistic models of smooth disorder.
arXiv comment18 pages, 18 figures. Version 2 contains significant revisions with respect to version 1, in accordance with referee suggestions
References in corpus (27)
- Coherent Branched Flow in a Two-Dimensional Electron Gas
- Freak waves in the linear regime: A microwave study
- Unexpected features of branched flow through high-mobility two-dimensional electron gases
- Imaging Fractal Conductance Fluctuations and Scarred Wave Functions in a Quantum Billiard
- Electrostatically induced quantum point contact in bilayer graphene
- On the imaging of electron transport in semiconductor quantum structures by scanning-gate microscopy: successes and limitations
- On the stability of long-range sound propagation through a structured ocean
- Imaging Electron Wave Functions Inside Open Quantum Rings
- Refraction of a Gaussian Seaway
- Statistics of branched flow in a weak correlated random potential
- Topologically non-trivial valley states in bilayer graphene quantum point contacts
- Electron interferometer formed with a scanning probe tip and quantum point contact
- Local Density of States in Mesoscopic Samples from Scanning Gate Microscopy
- Imaging Electron Interferometer
- Experimental Observation of a Fundamental Length Scale of Waves in Random Media
- What is measured in the scanning gate microscopy of a quantum point contact?
- Theory of scanning gate microscopy
- Interference features in scanning gate conductance maps of quantum point contacts with disorder
- Stability of Branched Flow from a Quantum Point Contact
- How branching can change the conductance of ballistic semiconductor devices
- Scanning gate experiments: from strongly to weakly invasive probes
- Partial local density of states from scanning gate microscopy
- Scanning gate imaging in confined geometries
- Uniform semiclassical wave function for coherent 2D electron flow
- Emergence and dynamical properties of stochastic branching in the electronic flows of disordered Dirac solids
- Stable Branched Electron Flow
- Classical origin of conductance oscillations in an integrable cavity
Cited by in corpus (4)
- Deep neural networks for inverse problems in mesoscopic physics: Characterization of the disorder configuration from quantum transport properties
- Signatures of folded branches in the scanning gate microscopy of ballistic electronic cavities
- Reconstructing the potential configuration in a high-mobility semiconductor heterostructure with scanning gate microscopy
- Imaging signatures of the local density of states in an electronic cavity