Physical Review Letters· 2015Q1
Line of Dirac Nodes in Hyperhoneycomb Lattices
- 313citations
- Q1SCImago
- 2015year
Short summary
Researchers propose 3D hyperhoneycomb lattices with closed lines of Dirac nodes, leading to quantized Hall conductivities and topological surface states.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduced 3D hyperhoneycomb lattices with planar trigonal connectivity.
- Demonstrated closed lines of Dirac nodes where density of states vanishes linearly.
- Showcased quantized 3D Hall conductivities with toroidal magnetic fields.
- Identified topological surface states in the presence of spin-orbit coupling.
AI-generated from the title and abstract; the full text is not read.
Abstract
We propose a family of structures that have "Dirac loops," closed lines of Dirac nodes in momentum space, on which the density of states vanishes linearly with energy. Those lattices all possess the planar trigonal connectivity present in graphene, but are three dimensional. We show that their highly anisotropic and multiply connected Fermi surface leads to quantized Hall conductivities in three dimensions for magnetic fields with toroidal geometry. In the presence of spin-orbit coupling, we show that those structures have topological surface states. We discuss the feasibility of realizing the structures as new allotropes of carbon.
The authors' abstract, as published at the source. Physical Review Letters, 2015 · DOI ↗
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Field: Geometry and Topology
Geometry and TopologyMathematics