A Class of topological nodal rings and its realization in carbon networks

Abstract

Topological nodal rings can be classified into three types according to the slopes in their energy dispersion. The first two are made of type-I and II nodal points, respectively, while the third is made of both. In carbon networks, all three types can exist. Under strain, phase transitions from a topological metal to a semiconductor, take place, and at the transition points, these nodal rings shrink into type-I, II, and III semi-Dirac points. These topological features exhibit diverse electron-hole pocket patterns and Landau levels, which give rise to exotic transport properties.

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• High-Temperature Conventional Superconductivity in the Boron-Carbon system: Material Trends
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• Grapheayne: a class of low-energy carbon allotropes with diverse optoelectronic and topological properties
• Interlocking nodal chains and their examples in carbon networks
• Topological properties of non-centrosymmetric superconductors $T$Ir${}_2$B${}_2$ ($T$=Nb, Ta)
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• Ideal Nodal-Sphere Semimetal in the Three-Dimensional Boron Allotrope CT-B${}_{24}$
• 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