Visualizing the multifractal wave functions of a disordered two-dimensional electron gas

2020/10/15 by Berthold Jäck, Fabian Zinser, Elio J. König +6 · 12 citations
Physics and Astronomy · #Electron #Fermi gas #Function (biology) #Multifractal system #Quantum and electron transport phenomena #Scaling #Surface and Thin Film Phenomena #Topological Materials and Phenomena #Wave function #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevresearch.3.013022

published in Physical Review Research 3(1) (American Physical Society) · 10 pages, 7 figures

arxiv created 2020/10/15 · openalex created_date 2020/10/22 · openalex publication_date 2021/01/08 · arxiv updated 2021/01/13 · openalex updated_date 2026/08/05

Abstract

The authors report on the multifractal eigenstate characteristics of a disordered two-dimensional electron gas near the quantum-critical Anderson transition, and show a disorder-induced anomalous wave function scaling in real space.

Citations

• Direct determination of the f(α) singularity spectrum
• Exact Relations between Multifractal Exponents at the Anderson Transition
• Multifractal phenomena in physics and chemistry
• Coulomb gap and low temperature conductivity of disordered systems
• Unfolding First-Principles Band Structures
• Eigenfunction Fractality and Pseudogap State near the Superconductor-Insulator Transition
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
• Anderson Transition in Two-Dimensional Systems with Spin-Orbit Coupling
• Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System