On topological aspects of 2D graphene like materials
arXiv:1408.6124
Abstract
We study the graphene lattice with a curvature effect. The action depicting multilayers of graphene is portrayed in curved spacetime and effective Dirac equation scopes the curvature effect. The magnetic field is responsible for the geometric variations and these changes are identified as topological aspects in graphene. By varying the geometry of the graphene one can create topologically distinct surfaces which could be remarked as torus or sphere. The 2D hexagonal tessellation induces a curvature effect and the tessellation plane is reduced to a 2-torus having genus g=1.
arXiv comment8 pages, 1 Figure
References in corpus (14)
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Graphene: Status and Prospects
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Graphene-Based Liquid Crystal Device
- Fractional quantum Hall states at zero magnetic field
- Gauge fields in graphene
- Marginal Fermi liquid behavior from 2d Coulomb interaction
- Manifestations of topological effects in graphene
- Edge states, mass and spin gaps, and quantum Hall effect in graphene
- Graphene with geometrically induced vorticity
- Topological aspect of graphene physics
- Topological Aspects of Fermions on Hyperdiamond
- Zero modes of various graphene configurations from the index theorem
- Induced Current and Aharonov-Bohm Effect in Graphene