2008/08/12 by Yu. A. Sitenko, N. D. Vlasii · 1 citation
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Boundary (topology) #Boundary value problem #Graphene #Graphene research and applications #Polarization (electrochemistry) #Quasiparticle #Topological Materials and Phenomena #Topological defect #Vortex #cond-mat.mtrl-sci #cond-mat.str-el
paper · pdf · doi:10.1063/1.2981397
published as Low Temp. Phys. 34, 826 (2008) · 16 pages, submitted to J. Low Temp. Phys
arxiv created 2008/08/12 · openalex publication_date 2008/10/01 · openalex created_date 2016/06/24 · arxiv updated 2016/10/06 · openalex updated_date 2026/08/05
The influence of a topological defect in graphene on the ground state of electronic quasiparticle excitations is studied in the framework of the long-wavelength continuum model originating in the tight-binding approximation for the nearest-neighbor interaction in the graphitic lattice. A topological defect that rolls up a graphitic sheet into a nanocone is represented by a pointlike pseudomagnetic vortex with a flux which is related to the deficit angle of the cone. The method of self-adjoint extensions is employed to define the set of physically acceptable boundary conditions at the apex of the nanocone. The electronic system on a graphitic nanocone is found to acquire a ground-state condensate and current of special type, and we determine the dependence of these quantities on the deficit angle of the nanocone, the continuous parameter of the boundary condition at the apex, and the distance from the apex.