Abstract
Within the scope of the chiral model of graphene in 8-spinor realization, suggested earlier [1, 2], the combined spinor field Ψ is used as a new order parameter, which contains information on spin and quasispin excitations in graphene (8-spinor part) and also that on sp-hybridization effect of carbon valence electrons [SU(2)-matrix part]. This model admits two kinds of configurations describing, in the long-wave approximation, the graphene mono-atomic plane and the carbon nanotube respectively. The first one is given by the domain-wall (or kink-like) solution and the second one is described by the hedgehog ansatz with large topological charge (winding number n). We consider the infinite carbon nanotube in a static external magnetic field oriented along the tube and analyze the structure of the magnetic intensity on the outside. The diamagnetic behavior of the material is shown by the perturbation method which proves to be self-consistent for n ≫ 1.
Highlights
Structure of the modelThe discovery of carbon nanotubes [3, 4], which are endowed with very high electric and heat conductivities and with an extraordinary tensile and bending strength, opened new possibilities in spintronics and in production of composite materials for their reinforcing
Using the Green function method, we find the magnetic intensity of the tube and show the field to decrease in the central domain
We applied the chiral model of graphene in 8-spinor realization to the description of the infinite carbon nanotube interacting with the static magnetic field oriented along the tube
Summary
The discovery of carbon nanotubes [3, 4], which are endowed with very high electric and heat conductivities and with an extraordinary tensile and bending strength, opened new possibilities in spintronics and in production of composite materials for their reinforcing. It appears natural to introduce scalar a0 and 3-vector a fields corresponding to the s-orbital and the p-orbital states of the “free” electron respectively. These two fields can be combined into the unitary matrix. Magnetic properties of the graphene plane appear to be highly anisotropic: for the case of an external magnetic field parallel to the plane the material reveals diamagnetic behavior, for the case of the orthogonal field orientation it reveals paramagnetic behavior [9] It is worth-while to stress that similar behavior is predicted for the bilayer graphene [10, 11]. Using the Green function method, we find the magnetic intensity of the tube and show the field to decrease in the central domain
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