2018/10/16 by R. Gupta, F. Rost, M. Fleischmann +2
Materials Science · Physics and Astronomy · #Classical mechanics #Condensed matter physics #Deformation (meteorology) #Extant taxon #Graphene research and applications #Homogeneous #Lattice (music) #Physics #Quantum and electron transport phenomena #Statistical physics #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.99.125407
published as Phys. Rev. B 99, 125407 (2019)
arxiv created 2018/10/16 · openalex publication_date 2019/03/06 · arxiv updated 2019/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a continuum theory of graphene, treating on an equal footing both the homogeneous Cauchy-Born (CB) deformation and the microscopic degrees of freedom associated with the two sublattices. While our theory recovers all extant results from homogeneous continuum theory, the Dirac-Weyl equation is found to be augmented by new pseudogauge and chiral fields fundamentally different from those that result from homogeneous deformation. We elucidate three striking electronic consequences: (i) non-CB deformations allow for the transport of valley-polarized charge over arbitrarily long distances, e.g., along a designed ridge; (ii) the triaxial deformations required to generate an approximately uniform magnetic field are unnecessary with non-CB deformation; and finally (iii) the vanishing of the effects of a one-dimensional corrugation seen in ab initio calculation upon lattice relaxation is explained as a compensation of CB and non-CB deformation.