Topological Node-Line Semimetal in Three Dimensional Graphene Networks

Abstract

Graphene, a two dimensional (2D) carbon sheet, acquires many of its amazing properties from the Dirac point nature of its electronic structures with negligible spin-orbit coupling. Extending to 3D space, graphene networks with negative curvature, called Mackay-Terrones crystals (MTC), have been proposed and experimentally explored, yet their topological properties remain to be discovered. Based on the first-principle calculations, we report an all-carbon MTC with topologically non-trivial electronic states by exhibiting node-lines in bulk. When the node-lines are projected on to surfaces to form circles, "drumhead" like flat surface bands nestled inside of the circles are formed. The bulk node-line can evolve into 3D Dirac point in the absence of inversion symmetry, which has shown its plausible existence in recent experiments.

19 pages, 7 figures. Figure 4 is updated

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• Characteristic singular behaviors of nodal line materials emerging in orbital magnetic susceptibility and Hall conductivity
• Topological semimetals and insulators in three-dimensional honeycomb materials
• Transition from nodal loop to nodal chain phase in a periodically modulated optical lattice
• Quasiparticle interference and resonant states in normal and superconducting line nodal semimetals
• A three-dimensional magnetic topological phase
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• Oscillations of magnetization in topological line-node semimetals
• Electronic properties of graphyne-$N$ monolayer and its multilayer: even-odd effect and topological nodal line semimetalic phases
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• Topological Light Nodal Lines in FCC Lattice
• Topological semimetal phases in a family of monolayer X3YZ6 (X=Nb,Ta, Y=Si,Ge,Sn, Z=S,Se,Te) with abundant nodal lines and nodes
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• Ideal quantum geometry of the surface states of rhombohedral graphite and its effects on the surface superconductivity
• Reshaping the anomalous Hall response in tilted 3D system with disorder correction
• Ideal Nodal-Sphere Semimetal in the Three-Dimensional Boron Allotrope CT-B${}_{24}$
• Fermi points and the Nambu sum rule in the polar phase of ${}^3$He
• Mechanical Properties of Diamond Schwarzites: From Molecular Dynamics Simulations to 3D Printing
• Quantum Hall effect and optical magneto-conductivity of two-dimensional topological nodal-line semimetals
• Flat Surface State with Octupole Moment in an $e_g$ Orbital System on a Simple Cubic Lattice
• Disorder-induced instability of a Weyl nodal loop semimetal towards a diffusive topological metal with protected multifractal surface states
• Negative transverse magnetoresistance due to negative off-diagonal mass in linear dispersion materials
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• Three-dimensional honeycomb carbon: Junction line distortion and novel emergent fermions
• Topological Fermi-arc-like surface states in Kramers nodal line metals
• Two-dimensional hourglass Weyl nodal loop in monolayer Pb(ClO${}_2$)${}_2$ and Sr(ClO${}_2$)${}_2$
• Sign reversal of magnetoresistivity in massive nodal-line semimetals due to Lifshitz transition of Fermi surface
• Triply degenerate nodal line and tunable contracted-drumhead surface state in a tight-binding model
• Nodal Line Topological Superfluid and Multiply Protected Majorana Fermi Arc in a Three-Dimensional Time-Reversal-Invariant Superfluid Model
• Magnetic susceptibility of crystals with crossing of their band-contact lines
• Predication of topological states in the allotropes of group-IV elements
• Real-space visualization of quasiparticle dephasing near the Planckian limit in the Dirac line node material ZrSiS
• New Nanoporous Graphyne Monolayer as Nodal Line Semimetal: Double Dirac Points with an Ultrahigh Fermi Velocity
• Surface Structure and Surface State of a Tight-Binding Model on a Diamond Lattice
• Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response
• Interband response in spin-orbit coupled nodal line semimetals
• Emergence of Type-I and Type-II Dirac line nodes in penta-octa-graphene
• Essentially degenerate hidden nodal lines in two-dimensional magnetic layer groups
• A first-principles investigation of Topological Phase Transition in face-centred cubic LiMgBi
• Topological materials with extensive flat-band surface states