2014/04/30 by J. A. Crosse · 3 citations
Materials Science · Mathematics · Physics and Astronomy · #2D Materials and Applications #Carbon Nanotubes in Composites #Classical mechanics #Continuum hypothesis #Displacement (psychology) #Displacement field #Field (mathematics) #Finite element method #Finite strain theory #Geometry #Graphene #Graphene research and applications #Infinitesimal #Lattice (music) #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum mechanics #Ribbon #Strain (injury) #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.90.045201
published in Physical Review B 90(4) (American Physical Society) · Updated to journal version with revised figure 3 and new title. 7 pages, 5 figures
openalex publication_date 2014/07/02 · arxiv created 2014/07/07 · arxiv updated 2014/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Under the application of a force a material will deform and, hence, the crystal lattice will experience strain. This induced strain will alter the electronic properties of the material. In particular, strain in graphene generates an artificial vector potential that, if spatially varying, admits a pseudomagnetic field. Current theories for spatially varying strain use linear or finite strain theory, whose derivation is based on small displacements of infinitesimal length vectors. Here we apply a differential geometry method to derive a strain theory for large displacements of finite length vectors. This method gives a finite displacement term whose contribution is comparable to that of the linear strain term. Furthermore, we show that a ``domain-wall''-like pseudomagnetic-field profile can be generated when a wide graphene ribbon is subjected to a pair of opposing point forces (point stretch). The resulting field is a function of the new finite displacement term only and displays a maximum strength of over three times that which is predicted by the linear strain theory. These results extend the current theories of strain, which are based on the transformation of infinitesimal length vectors, to finite length vectors, thus providing an accurate description of pseudomagnetic-field structures in strained materials.