Tunable two-dimensional Dirac nodal nets

Abstract

Nodal line semimetals are characterized by symmetry-protected band crossing lines and are expected to exhibit nontrivial electronic properties. Connections of the multiple nodal lines, resulting in nodal nets, chains, or links, are envisioned to produce even more exotic quantum states. In this work, we propose a feasible approach to realize tunable nodal line connections in real materials. We show that certain space group symmetries support the coexistence of the planar symmetry enforced and accidental nodal lines, which are robust to spin-orbit coupling and can be tailored into intricate patterns by chemical substitution, pressure, or strain. Based on first-principles calculations, we identify non-symmorphic centrosymmetric quasi-one-dimensional compounds, K${}_2$SnBi and MX${}_3$ (M = Ti, Zr, Hf and X = Cl, Br, I), as materials hosting such tunable 2D Dirac nodal nets. Unique Landau levels are predicted for the nodal line semimetals with the 2D Dirac nodal nets. Our results provide a viable approach for realize the novel physics of the nodal line connections in practice.

References in corpus (23)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• The electronic properties of graphene
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Topological nodal line semimetals
• Line of Dirac Nodes in Hyper-Honeycomb Lattices
• Nodal-link semimetals
• Type-II Dirac fermions in the PtSe${}_2$ class of transition metal dichalcogenides
• 3D Dirac semimetals: current materials, design principles and predictions of new materials
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Topological Hopf and chain link semimetal states and their application to Co2MnGa (Theory and Materials Prediction)
• Wallpaper Fermions and the Nonsymmorphic Dirac Insulator
• Hourglass Dirac Chain Metal in Rhenium Dioxide
• Topological Semimetals carrying Arbitrary Hopf Numbers: Hopf-Link, Solomon's-Knot, Trefoil-Knot and Other Semimetals
• Topological Dirac Nodal-net Fermions in AlB${}_2$-type TiB${}_2$ and ZrB${}_2$
• LevelScheme: A level scheme drawing and scientific figure preparation system for Mathematica
• Weyl-link semimetals
• Floquet multi-Weyl points in crossing-nodal-line semimetals
• Symmorphic intersecting nodal rings in semiconducting layers
• Coexistence of New Fermions in Topological Semimetal TaS
• Photoinduced topological phase transition from a crossing-line nodal semimetal to a multiple-Weyl semimetal

Cited by in corpus (5)

• Jones polynomial and knot transitions in topological semimetals
• Topological carbon materials: a new perspective
• Dirac nodal line metal for topological antiferromagnetic spintronics
• Spin and charge transport in topological nodal-line semimetals
• Triply degenerate nodal lines in topological and non-topological metals