Graphene with geometrically induced vorticity

Abstract

At half filling, the electronic structure of graphene can be modelled by a pair of free two-dimensional Dirac fermions. We explicitly demonstrate that in the presence of a geometrically induced gauge field, an everywhere-real Kekule modulation of the hopping matrix elements can correspond to a non-real Higgs field with non-trivial vorticity. This provides a natural setting for fractionally charged vortices with localized zero modes. For fullerene-like molecules we employ the index theorem to demonstrate the existence of six low-lying states that do not depend strongly on the Kekule-induced mass gap.

4 pages, 3 figures, to appear in PRL

References in corpus (10)

• Chiral tunneling and the Klein paradox in graphene
• Electron fractionalization in two-dimensional graphenelike structures
• The Electronic Spectrum of Fullerenes from the Dirac Equation
• Existence and topological stability of Fermi points in multilayered graphene
• Chiral Gauge Theory for Graphene
• Topological Phases in Graphitic Cones
• Electronic properties of curved graphene sheets
• Zero modes of two-dimensional chiral p-wave superconductors
• The continuum gauge field-theory model for low-energy electronic states of icosahedral fullerenes
• Zero modes of various graphene configurations from the index theorem

Cited by in corpus (20)

• Gauge fields in graphene
• Domain walls in gapped graphene
• Masses in graphene-like two-dimensional electronic systems: topological defects in order parameters and their fractional exchange statistics
• Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
• Electron fractionalization for two-dimensional Dirac fermions
• Weyl-Gauge Symmetry of Graphene
• Manifestations of topological effects in graphene
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Yang-Mills gauge theories from fermionic lattice models
• Topological gap states of semiconducting armchair graphene ribbons
• Fullerenes, Zero-modes, and Self-adjoint Extensions
• Conductance enhancement due to atomic potential fluctuations in graphene
• Effect of topological defects and Coulomb charge on the low energy quantum dynamics of gapped graphene
• Majorana zero modes in graphene with trigonal warping
• Induced fractional valley number in graphene with topological defects
• Quantum geometric tensors from sub-bundle geometry
• Topological Vortices in Chiral Gauge Theory of Graphene
• On topological aspects of 2D graphene like materials
• Fermionic zero modes in the vortex field in arbitrary dimensions and index of Dirac operator with Majorana-like interaction
• On geometric delusions of hexagonal structures