2014/04/30 by M. Oliva-Leyva, Gerardo G. Naumis
Materials Science · Mathematics · Physics and Astronomy · #2D Materials and Applications #Condensed matter physics #Dirac equation #Fermi Gamma-ray Space Telescope #Fermi energy #Fermi level #Graphene #Graphene research and applications #Hamiltonian (control theory) #Mathematics #Physics #Quantum mechanics #Reciprocal lattice #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1016/j.physleta.2015.05.039
published as Physics Letters A 379 (2015), pp. 2645-2651
openalex publication_date 2015/06/04 · arxiv created 2015/08/29 · arxiv updated 2015/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The relevance of the strain-induced Dirac point shift to obtain the appropriate anisotropic Fermi velocity of strained graphene is demonstrated. Then a critical revision of the available effective Dirac Hamiltonians is made by studying in detail the limiting case of a uniform strain. An effective Dirac Hamiltonian for nonuniform strain is thus reported, which takes into account all strain-induced effects: changes in the nearest-neighbor hopping parameters, the reciprocal lattice deformation and the true shift of the Dirac point. Pseudomagnetic fields are thus explained by means of position-dependent Dirac cones, whereas complex gauge fields appear as a consequence of a position-dependent Fermi velocity. Also, position-dependent Fermi velocity effects on the spinor wavefunction are considered for interesting cases of deformations such as flexural modes.