Existence and topological stability of Fermi points in multilayered graphene

By J. Mañes, Francisco Guinea, M. Vozmediano. 2006

190 citations recorded by the source corpus.

We study the existence and topological stability of Fermi points in a graphene layer and stacks with many layers. We show that the discrete symmetries (space-time inversion) stabilize the Fermi points in monolayer, bilayer, and multilayer graphenes with orthorhombic stacking. The bands near $k=0$ and $ϵ=0$ in multilayers with the Bernal stacking depend on the parity of the number of layers, and Fermi points are unstable when the number of layers is odd. The low-energy changes in the electronic structure induced by commensurate perturbations which mix the two Dirac points are also investigated.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/0ae1233f59d08da3cfa6c1d308a0ab2835131c7d

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Substrate-induced bandgap opening in epitaxial graphene. (2007, background): “One is to hybridize the electronic states at K and K′, which requires breaking of the translational symmetry [5].”
Colloquium: Graphene spectroscopy (2014, background): “Theoretically, the gap can also be induced by hybridization of the two valleys (Mañes et al., 2007).”
Graphene-Based Materials for Biosensors: A Review (2017, background): “One is to hybridize the electronic states at the Dirac points, which requires the translation symmetry to be broken [65].”
High frequency electric field induced nonlinear effects in graphene (2013, background): “), described by the point symmetry group D3d, which contains an inversion center [102], and the Bernal one (ABAB.”
Metasurface Engineering through Bound States in the Continuum (2019, background): “[35] J.”
Colloquium : Spintronics in graphene and other two-dimensional materials (2019, background): “This symmetry-based analysis can be extended to graphene multilayers with an arbitrary number of layers N (Guinea et al., 2006; Mañes et al., 2007; Partoens and Peeters, 2006).”
Novel effects of strains in graphene and other two dimensional materials (2015, background): “The existence and merging of Dirac points in crystals was studied in the early work [229] and a very complete analysis of the issue has appeared in the recent review [107].”
The electronic properties of graphene (2007, methodology): “arguments (Mañes et al., 2007).”