2008/08/31 by Kumar S. Gupta, Siddhartha Sen
Materials Science · Mathematics · Physics and Astronomy · #Bound state #Boundary (topology) #Charge (physics) #Condensed matter physics #Coulomb #Coupling (piping) #Electron #Energy spectrum #Fermi energy #Graphene #Graphene research and applications #Impurity #Materials science #Physics #Quantum and electron transport phenomena #Quantum mechanics #Range (aeronautics) #Renormalization group #Supercritical fluid #Topological Materials and Phenomena #cond-mat.mes-hall #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevb.78.205429
published as Phys. Rev. B 78, 205429 (2008) · 8 pages, 1 figure, Latex file, minor changes in the text, title changed in the journal
openalex publication_date 2008/11/21 · arxiv created 2008/11/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We obtain a bound-state spectrum of low-energy excitations near the Fermi points of gapped graphene in the presence of a charge impurity. The effects of possible short-range interactions induced by the impurity are modeled by suitable boundary conditions. The spectrum in the subcritical region of the effective Coulomb coupling is labeled by a parameter which characterizes the boundary conditions and determines the inequivalent quantizations of the system. In the supercritical region we obtain a renormalization-group flow for the effective Coulomb coupling.