High-Chern-number bands and tunable Dirac cones in $\beta$-graphyne

Abstract

Graphynes represent an emerging family of carbon allotropes that recently attracted much interest due to the tunability of the Dirac cones in the band structure. Here, we show that the spin-orbit couplings in $\beta$-graphyne could produce various effects related to the topological properties of its electronic bands. Intrinsic spin-orbit coupling yields high- and tunable Chern-number bands, which may host both topological and Chern insulators, in the presence and absence of time-reversal symmetry, respectively. Furthermore, Rashba spin-orbit coupling can be used to control the position and the number of Dirac cones in the Brillouin zone. These findings suggest that spin-orbit-related physics in $\beta$-graphyne is very rich, and, in particular, that this system could provide a platform for the realization of a two-dimensional material with tunable topological properties.

arXiv comment5 pages main text + 9 pages supplementary material; published version

References in corpus (15)

• The electronic properties of graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• Spin-orbit coupling in quantum gases
• The space group classification of topological band insulators
• Fractional Quantum Hall Physics in Topological Flat Bands
• Graphyne: Hexagonal network of carbon with versatile Dirac cones
• Magnetic Properties of Single Transition-Metal Atom Absorbed Graphdiyne and Graphyne Sheet
• Engineering artificial graphene in a two-dimensional electron gas
• Chern insulators from heavy atoms on magnetic substrates
• Dirac Cones, Topological Edge States, and Nontrivial Flat Bands in Two-Dimensional Semiconductors with a Honeycomb Nanogeometry
• Topological Phase Transition without Gap Closing
• Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling

Cited by in corpus (10)

• Topological Phases in Two-Dimensional Materials: A Brief Review
• The Rare Two-Dimensional Materials with Dirac Cones
• Recipe for creating an arbitrary number of Floquet chiral edge states
• Dirac cones beyond the honeycomb lattice: a symmetry based approach
• Kagome quantum anomalous Hall effect with high Chern number and large band gap
• Tight-binding theory of spin-orbit coupling in graphynes
• Effective acetylene length dependence of the elastic properties of different kinds of graphynes
• Electronic properties of two-dimensional rectangular graphyne based on phenyl-like building blocks
• Deformation induced pseudo-magnetic fields in complex carbon architectures
• Vibrational properties of graphdiynes as 2D carbon materials beyond graphene