Chiral symmetry and its manifestation in optical responses in graphene: interaction and multi-layers

Abstract

Chiral symmetry, fundamental in the physics of graphene, guarantees the existence of topologically stable doubled Dirac cones and anomalous behaviors of the zero-energy Landau level in magnetic fields. The crucial role is inherited in the optical responses and many-body physics in graphene, which are explained in this paper. We also give an overview of multilayer graphene from the viewpoint of the optical properties and their relation with the chiral symmetry.

arXiv comment21 pages, 9 figures

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Cited by in corpus (14)

• Topological Properties of Gapped Graphene Nanoribbons with Spatial Symmetries
• Nonlinear quantum optical properties of graphene: the role of chirality and symmetry
• Ferromagnetic helical nodal line and Kane-Mele spin-orbit coupling in kagome metal Fe3Sn2
• Granular Superconductor in a honeycomb lattice as a realization of Bosonic Dirac Material
• Relativistic Landau Models and Generation of Fuzzy Spheres
• Flat bands in Weaire-Thorpe model and silicene
• Edge states of mechanical diamond and its topological origin
• Fermi-liquid ground state of interacting Dirac fermions in two dimensions
• Emergence of massless Dirac quasiparticles in correlated hydrogenated graphene with broken sublattice symmetry
• Many-Body Chern Numbers of $\nu =1/3$ and $1/2$ States on Various Lattices
• Topological Modes Protected by Chiral and Two-Fold Rotational Symmetry in a Spring-Mass Model with a Lieb Lattice Structure
• Fractional Quantum Hall Effect in n=0 Landau Band of Graphene with Chern Number Matrix
• Spin-resoloved chiral condensate as a spin-unpolarized ν=0 quantum Hall state in graphene
• Van-Hove tuning of Fermi surface instabilities through compensated metallicity