Properties of the ground state of electronic excitations in carbon-like nanocones
arXiv:1810.11320 · doi:10.1063/1.5078524
Abstract
On the basis of the continuum model for long-wavelength charge carriers, originating in the tight-binding approximation for the nearest-neighbour interaction of atoms in the crystalline lattice, we consider quantum ground-state effects of electronic excitations in Dirac materials with two-dimensional monolayer honeycomb structures warped into nanocones by a disclination; the nonzero size of the disclination is taken into account, and a boundary condition at the edge of the disclination is chosen to ensure self-adjointness of the Dirac-Weyl Hamiltonian operator. We show that the quantum ground-state effects are independent of the disclination size and find circumstances when they are independent of a parameter of the boundary condition. The magnetic flux circulating in the angular direction around the nanocone apex and the pseudomagnetic flux directed orthogonally to the nanocone surface are shown to be induced in the ground state.
arXiv comment19 pages, misprints corrected. arXiv admin note: substantial text overlap with arXiv:1711.00450
References in corpus (11)
- Two Dimensional Atomic Crystals
- Phosphorene: A New 2D Material with High Carrier Mobility
- Two and one-dimensional honeycomb structures of silicon and germanium
- Cosmic strings
- Gauge fields in graphene
- Dirac materials
- AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
- Electronic properties of graphene with a topological defect
- Self-Adjointness of the Dirac Hamiltonian and Fermion Number Fractionization in the Background of a Singular Magnetic Vortex
- Induced vacuum condensates in the background of a singular magnetic vortex in 2+1-dimensional space-time
- Self-adjointness of the two-dimensional massless Dirac Hamiltonian and vacuum polarization effects in the background of a singular magnetic vortex
Cited by in corpus (9)
- The Casimir effect for fermionic currents in conical rings with applications to graphene ribbons
- Induced vacuum magnetic flux in quantum spinor matter in the background of a topological defect in two-dimensional space
- Magnetic flux in the vacuum of quantum bosonic matter in the cosmic string background
- Induced vacuum current and magnetic flux in quantum scalar matter in the background of a vortex defect with the Neumann boundary condition
- Casimir effect for fermion condensate in conical rings
- Induced vacuum energy density of quantum charged scalar matter in the background of an impenetrable magnetic tube with the Neumann boundary condition
- Induced vacuum magnetic field in the cosmic string background
- Dependence of scalar matter vacuum energy, induced by a magnetic topological defect, on the coupling to space-time curvature
- Impact of space-time curvature coupling on the vacuum energy induced by a magnetic topological defect in flat space-time of arbitrary dimension