Topological carbon materials: a new perspective

Abstract

Carbon has numerous one-dimensional (1D), two-dimensional (2D), and three-dimensional (3D) allotropic structures. The study of carbon materials has been a major focus of material science and condensed matter physics. Previous studies have identified different classes of topological semimetallic carbon allotropes with different topological phases. In this review, we first give a brief summary of the development of carbon allotropes from 1D to 3D. Next, we discuss topological properties of carbon materials and their physical origin. Then, we consider possible expansion of the topological study of carbon materials to other light-element materials such as boron. Finally, we present future prospects in pursue of topological physics within carbon allotropes.

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• Fermionic quantum criticality and the fractal nodal surface
• Carboneyane: A nodal line topological carbon with sp-sp2-sp3 chemical bonds
• Nodal surfaces and interdimensional degeneracies
• Magnetization of topological line-node semimetals
• Tunable two-dimensional Dirac nodal nets
• Stacking Textures and Singularities in Bilayer Graphene
• Magnonic triply-degenerate nodal points
• Demonstration of Hopf-link semimetal bands with superconducting circuits
• Topological Phase Transition in Metallic Single-Wall Carbon Nanotube
• Face centered cubic SnSe as a ${\mathbb{Z}}_2$ trivial Dirac nodal line material
• Topological Phases emerging from Spin-Orbital Physics
• Electronic properties of strained double-Weyl systems
• Systematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple points
• Optical properties of lowest-energy carbon allotropes from the first-principles calculations

Cited by in corpus (6)

• T-carbon: experiments, properties, derivatives and potential applications
• Strain-tunable Dirac semimetal phase transition and emergent superconductivity in a borophane
• Tetragonal Mexican-Hat Dispersion and Switchable Half-Metal State with Multiple Anisotropic Weyl Fermions in Penta-Graphene
• Electronic properties of graphyne-$N$ monolayer and its multilayer: even-odd effect and topological nodal line semimetalic phases
• Porous-B${}_{18}$: An Ideal Topological Semimetal with Symmetry-Enforced Orthogonal Nodal-Line and Nodal-Surface States
• Realization of multiple topological states and topological phase transitions in (4,0) carbon nanotube derivatives