2015/05/31 by Sergey Slizovskiy · 5 citations
Chemistry · Materials Science · Physics and Astronomy · #Bilayer graphene #Chemical physics #Chemistry #Condensed matter physics #Coulomb #Diamond and Carbon-based Materials Research #Electron #Graphene #Graphene research and applications #Landau quantization #Macromolecule #Magnetic field #Materials science #Nanotechnology #Physics #Quantum and electron transport phenomena #Quantum mechanics #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.92.195426
published in Physical Review B 92(19) (American Physical Society) · 9 pages, revised text, added refs, added a chapter on Valley-mixing
arxiv created 2015/09/23 · openalex publication_date 2015/11/23 · arxiv updated 2015/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show theoretically that in an external magnetic field, like charges on top of graphene monolayer may be mutually attracted to form macromolecules. For this to happen, graphene needs to be in a quantum Hall plateau state with the local chemical potential being between the Landau levels. One or several graphene electron(s) get localized in the middle between charges and provide overscreening of the Coulomb repulsion between the charges. The size of the resulting macromolecules is of the order of the magnetic length (\ensuremath∼10 nm for magnetic field 10 T). The possible stable macromolecules that unit charges can form on graphene in a magnetic field are classified. The binding survives significant temperatures, exceeding the mobility barriers for many ionically bond impurities. The influence of possible lattice-scale effects of valley mixing are discussed. Tuning the doping of graphene or the magnetic field, the binding of impurities can be turned on and off and the macromolecule size may be tuned. This opens the perspective to nanoscopic manipulation of ions on graphene by using magnetic field and gating.