2012/03/25 by Guohong Li, Adina Luican‐Mayer, Adina Luican +4 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Computer science #Condensed matter physics #Electron #Enhanced Data Rates for GSM Evolution #Geometry #Graphene #Graphene research and applications #Landau quantization #Materials science #Mathematics #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quasiparticle #Scanning tunneling microscope #Telecommunications #Topological Materials and Phenomena #Zigzag #cond-mat.mes-hall
paper · pdf · doi:10.1038/ncomms2767
published as Nature Comm. 4, 1744 (2013) · 16 pages, 4 figures
arxiv created 2012/03/25 · openalex publication_date 2013/04/23 · arxiv updated 2013/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The quantum-Hall-effect (QHE) occurs in topologically-ordered states of two-dimensional (2d) electron-systems in which an insulating bulk-state coexists with protected 1d conducting edge-states. Owing to a unique topologically imposed edge-bulk correspondence these edge-states are endowed with universal properties such as fractionally-charged quasiparticles and interference-patterns, which make them indispensable components for QH-based quantum-computation and other applications. The precise edge-bulk correspondence, conjectured theoretically in the limit of sharp edges, is difficult to realize in conventional semiconductor-based electron systems where soft boundaries lead to edge-state reconstruction. Using scanning-tunneling microscopy and spectroscopy to follow the spatial evolution of bulk Landau-levels towards a zigzag edge of graphene supported above a graphite substrate we demonstrate that in this system it is possible to realize atomically sharp edges with no edge-state reconstruction. Our results single out graphene as a system where the edge-state structure can be controlled and the universal properties directly probed.